49 + Mcqs in Analytical Geometry of two dimensions Page 1 McqOptions

1.	The equation of the line through (-3, -5) parallel to 7x + 2y – 4 = 0 is
A.	7x + 2y + 31 = 0
B.	7x – 2y + 30 = 0
C.	7x – 2y – 4 = 0
D.	2x + 7y + 30 = 0
Answer» B. 7x – 2y + 30 = 0

Discussion

2.	Which of the following lines is parallel to the line 3x – 2y + 6 = 0?
A.	3x + 2y – 12 = 0
B.	4x – 9y = 6
C.	12x + 18y = 15
D.	15 x – 10y – 9 = 0
Answer» E.

Discussion

3.	Find the equation of the perpendicular bisector of the line joining (5, 0) and (-7, 3).
A.	8x + 2y + 11 = 0
B.	8x – 2y + 11 = 0
C.	8x – y + 11 = 0
D.	8x + y + 11 = 0
Answer» C. 8x – y + 11 = 0

Discussion

4.	Find the equation of the line through point (3, 1) and is perpendicular to the line x + 5y +5 = o.
A.	5x – 2y = 14
B.	5x – y = 14
C.	2x – 5y = 14
D.	2x + 5y = 14
Answer» C. 2x – 5y = 14

Discussion

5.	What is the equation of the line that passes thru (4, 0) and is parallel to the line x – y – 2 = 0?
A.	x – y + 4 = 0
B.	x + y + 4 = 0
C.	x – y – 4 = 0
D.	x – y = 0
Answer» D. x – y = 0

Discussion

6.	A line through (-5, 2) and (1, -4) is perpendicular to the line through (x, -7) and (8, 7). Find the x.
A.	-4
B.	-5
C.	-6
D.	-19/3
Answer» D. -19/3

Discussion

7.	The line 2x – 3y + 2 = 0 is perpendicular to another line L1 of unknown equation. Find the slope of L1.
A.	3/2
B.	-3/2
C.	2/3
D.	-2/3
Answer» C. 2/3

Discussion

8.	Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0.
A.	5
B.	4
C.	3
D.	2
Answer» D. 2

Discussion

9.	Find the equation of the line if the x-intercept and y-intercept are -2 and 4, respectively.
A.	y – 2x – 4 = 0
B.	y + 2x – 4 = 0
C.	y – 2x + 4 = 0
D.	y + 2x + 4 = 0
Answer» C. y – 2x + 4 = 0

Discussion

10.	Find the equation of the line passing through the origin and with a slope of 6?
A.	y – 6x = 0
B.	y = -6
C.	x + y = -6
D.	6x + y = 0
Answer» B. y = -6

Discussion

11.	A line with an inclination of 45º passes through (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6?
A.	6
B.	7
C.	8
D.	9
Answer» D. 9

Discussion

12.	The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is,
A.	3x + 2y = 12
B.	2x – 3y = 12
C.	3x – 2y = 12
D.	2x – 3y = 12
Answer» D. 2x – 3y = 12

Discussion

13.	If the points (-2, 3), (x, y) and (-3, 5) lie on a straight line, then the equation of the line is _______.
A.	x – 2y – 1 = 0
B.	2x + y – 1 = 0
C.	x + 2y – 1 = 0
D.	2x + y + 1 = 0
Answer» E.

Discussion

14.	Find the equation of the straight line with a slope of 3 and a y-intercept of 1.
A.	3x + y – 1 = 0
B.	3x – y + 1 = 0
C.	x + 3y + 1 = 0
D.	x – 3y – 1 = 0
Answer» C. x + 3y + 1 = 0

Discussion

15.	What is the x-intercept of the line passing through (1, 4) and (4, 1)?
A.	4.5
B.	5
C.	4
D.	6
Answer» C. 4

Discussion

16.	A line passes thru (1, -3) and (-4, 2. Write the equation of the line in slope-intercept form.
A.	y – 4 = x
B.	y = -x – 2
C.	y = x – 4
D.	y – 2 = x
Answer» C. y = x – 4

Discussion

17.	Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle.
A.	3
B.	4
C.	5
D.	6
Answer» C. 5

Discussion

18.	In a Cartesian coordinates, the vertices of a triangle are defined by the following points: (-2, 0) and (3, 3). What is the area?
A.	8 sq. units
B.	9 sq. units
C.	10 sq. units
D.	11 sq. units
Answer» C. 10 sq. units

Discussion

19.	What is the slope of the line 3x + 2y + 1 = 0?
A.	3/2
B.	2/3
C.	-3/2
D.	-2/3
Answer» D. -2/3

Discussion

20.	Find the slope of the line defined by y – x = 5.
A.	1
B.	1/4
C.	-1/2
D.	5 + x
Answer» B. 1/4

Discussion

21.	What is the length of the line with a slope of 4/3 from a point (6, 4) to the y-axis?
A.	10
B.	25
C.	50
D.	75
Answer» B. 25

Discussion

22.	Find the distance between the given lines 4x – 3y = 12 and 4x – 3y = -8.
A.	3
B.	4
C.	5
D.	6
Answer» C. 5

Discussion

23.	The distance from a point (1, 3) to the line 4x + 3y + 12 = 0 is
A.	4 units
B.	5 units
C.	6 units
D.	7 units
Answer» C. 6 units

Discussion

24.	Determine the distance from (5, 10) to the line x – y = 0.
A.	3.33
B.	3.54
C.	4.23
D.	5.45
Answer» C. 4.23

Discussion

25.	The distance from the point (2, 1) to the line 4x – 3y + 5 = 0 is?
A.	1
B.	2
C.	3
D.	4
Answer» C. 3

Discussion

26.	The two points on the lines 2x = 3y + 4 = 0 which are at a distance 2 from the line 3x + 4y – 6 = 0 are?
A.	(-5, 1) and (-5, 2)
B.	(64, -44) and (4, -4)
C.	(8, 8) and (12, 12)
D.	(44, -64) and (-4, 4)
Answer» C. (8, 8) and (12, 12)

Discussion

27.	Find the distance of the line 3x + 4y = 5 from the origin.
A.	4
B.	3
C.	2
D.	1
Answer» E.

Discussion

28.	What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?
A.	4.4º
B.	28.3º
C.	5.2º
D.	18.6º
Answer» B. 28.3º

Discussion

29.	Find the angle between the lines 3x + 2y = 6 and x + y = 6.
A.	12º 20’
B.	11º 19’
C.	14º 25
D.	13º 06’
Answer» C. 14º 25

Discussion

30.	Find the angle formed by the lines 2x + y – 8 = 0 and x + 3y + 4 = 0.
A.	30º
B.	35º
C.	45º
D.	60º
Answer» D. 60º

Discussion

31.	Find the inclination of the line passing through (-5, 3) and (10, 7).
A.	14.73
B.	14.93
C.	14.83
D.	14.63
Answer» C. 14.83

Discussion

32.	If the slope of the line connecting the origin and point P is ¾, find the abscissa of P if its ordinate is 6.
A.	2
B.	6
C.	7
D.	8
Answer» E.

Discussion

33.	The points (a, 1), (b, 2) and (c, 3) are collinear. Which of the following is true?
A.	c – b = c – a
B.	c – b = b – a
C.	c – a = a – b
D.	c – a = b – a
Answer» C. c – a = a – b

Discussion

34.	The segment from (-1, 4) to (2, -2) is extended three times its own length. The terminal point is
A.	(11, -24)
B.	(-11, -20)
C.	(11, -18)
D.	(11, -20)
Answer» E.

Discussion

35.	Determine the coordinates of the point which is three-fifths of the way from the point (2, -5) to the point (-3, 5).
A.	(-1, 1)
B.	(-2, -1)
C.	(-1, -2)
D.	(1, -1)
Answer» B. (-2, -1)

Discussion

36.	If (-2, -4) is the midpoint of (6, -7) and (x, y), then the values of x and y are
A.	x = 2, y = 1
B.	x = -10, y = -1
C.	x = 10, y = -1
D.	x = -8, y = -1
Answer» C. x = 10, y = -1

Discussion

37.	The line segment connecting (x, 6) and (9, y) is bisected by the point (7, 3). Find the values of x and y.
A.	14, 6
B.	33, 12
C.	5, 0
D.	14, 6
Answer» D. 14, 6

Discussion

38.	Find the coordinate of a point equidistant from (1, -6), (5, -6) and (6, -1).
A.	(2, -2)
B.	(3, -2)
C.	(3, -3)
D.	(2, -3)
Answer» D. (2, -3)

Discussion

39.	If the distance between points (3, y) and (8, 7) is 13, then y is equal to
A.	5 or –5
B.	5 or 19
C.	19
D.	–5 or 19
Answer» E.

Discussion

40.	Find the distance between A (4, –3) and B (–2, 5).
A.	11
B.	9
C.	10
D.	8
Answer» D. 8

Discussion

41.	The linear distance between –4 and 17 on the number line is
A.	13
B.	21
C.	–17
D.	–13
Answer» C. –17

Discussion

42.	Which point lies above x-axis?
A.	(-1, 2)
B.	(2, 0)
C.	(-1,-5)
D.	(0,-3)
Answer» B. (2, 0)

Discussion

43.	Which point lies in IV quadrant?
A.	(-3,-4)
B.	(2,-4)
C.	(-2, 3)
D.	(0, 1)
Answer» C. (-2, 3)

Discussion

44.	Which point lies on the left of y-axis?
A.	(2, 0)
B.	(-2,-4)
C.	(5, 2)
D.	(3, 6)
Answer» C. (5, 2)

Discussion

45.	Which line is parallel to y=x-2?
A.	y=2x+1
B.	2y=2x-6
C.	2y=x+7
D.	y=3x+1
Answer» C. 2y=x+7

Discussion

46.	Which point lies to the right of y-axis?
A.	(0, 3)
B.	(-2,-1)
C.	(3, 5)
D.	(-3,-2)
Answer» D. (-3,-2)

Discussion

47.	Which point lies on y-axis?
A.	(1, 3)
B.	(0, 3)
C.	(5, 2)
D.	(-2,-3)
Answer» C. (5, 2)

Discussion

48.	Which point lies on x-axis?
A.	(3, 2)
B.	(-3, 2)
C.	(2, 0)
D.	(-1,-2)
Answer» D. (-1,-2)

Discussion

49.	Which graph is parallel to x-axis?
A.	y=x+1
B.	y=2
C.	x=3
D.	x=2y
Answer» C. x=3

Discussion

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The&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;through&nbsp;(-3,&nbsp;-5)&nbsp;parallel&nbsp;to&nbsp;7x&nbsp;+&nbsp;2y&nbsp;&ndash;&nbsp;4&nbsp;=&nbsp;0&nbsp;is

Which&nbsp;of&nbsp;the&nbsp;following&nbsp;lines&nbsp;is&nbsp;parallel&nbsp;to&nbsp;the&nbsp;line&nbsp;3x&nbsp;&ndash;&nbsp;2y&nbsp;+&nbsp;6&nbsp;=&nbsp;0?

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Find&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;through&nbsp;point&nbsp;(3,&nbsp;1)&nbsp;and&nbsp;is&nbsp;perpendicular&nbsp;to&nbsp;the&nbsp;line&nbsp;x&nbsp;+&nbsp;5y&nbsp;+5&nbsp;=&nbsp;o.

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A&nbsp;line&nbsp;through&nbsp;(-5,&nbsp;2)&nbsp;and&nbsp;(1,&nbsp;-4)&nbsp;is&nbsp;perpendicular&nbsp;to&nbsp;the&nbsp;line&nbsp;through&nbsp;(x,&nbsp;-7)&nbsp;and&nbsp;(8,&nbsp;7).&nbsp;Find&nbsp;the&nbsp;x.

The&nbsp;line&nbsp;2x&nbsp;&ndash;&nbsp;3y&nbsp;+&nbsp;2&nbsp;=&nbsp;0&nbsp;is&nbsp;perpendicular&nbsp;to&nbsp;another&nbsp;line&nbsp;L1&nbsp;of&nbsp;unknown&nbsp;equation.&nbsp;Find&nbsp;the&nbsp;slope&nbsp;of&nbsp;L1.

Determine&nbsp;B&nbsp;such&nbsp;that&nbsp;3x&nbsp;+&nbsp;2y&nbsp;&ndash;&nbsp;7&nbsp;=&nbsp;0&nbsp;is&nbsp;perpendicular&nbsp;to&nbsp;2x&nbsp;&ndash;&nbsp;By&nbsp;+&nbsp;2&nbsp;=&nbsp;0.

Find&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;if&nbsp;the&nbsp;x-intercept&nbsp;and&nbsp;y-intercept&nbsp;are&nbsp;-2&nbsp;and&nbsp;4,&nbsp;respectively.

Find&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;passing&nbsp;through&nbsp;the&nbsp;origin&nbsp;and&nbsp;with&nbsp;a&nbsp;slope&nbsp;of&nbsp;6?

A&nbsp;line&nbsp;with&nbsp;an&nbsp;inclination&nbsp;of&nbsp;45&ordm;&nbsp;passes&nbsp;through&nbsp;(-5/2,&nbsp;-9/2).&nbsp;What&nbsp;is&nbsp;the&nbsp;x-coordinate&nbsp;of&nbsp;a&nbsp;point&nbsp;on&nbsp;the&nbsp;line&nbsp;if&nbsp;its&nbsp;corresponding&nbsp;y-coordinate&nbsp;is&nbsp;6?

The&nbsp;equation&nbsp;of&nbsp;a&nbsp;line&nbsp;that&nbsp;intercepts&nbsp;the&nbsp;x-axis&nbsp;at&nbsp;x&nbsp;=&nbsp;4&nbsp;and&nbsp;the&nbsp;y-axis&nbsp;at&nbsp;y&nbsp;=&nbsp;-6&nbsp;is,

If&nbsp;the&nbsp;points&nbsp;(-2,&nbsp;3),&nbsp;(x,&nbsp;y)&nbsp;and&nbsp;(-3,&nbsp;5)&nbsp;lie&nbsp;on&nbsp;a&nbsp;straight&nbsp;line,&nbsp;then&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;is&nbsp;_______.

Find&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;straight&nbsp;line&nbsp;with&nbsp;a&nbsp;slope&nbsp;of&nbsp;3&nbsp;and&nbsp;a&nbsp;y-intercept&nbsp;of&nbsp;1.

What&nbsp;is&nbsp;the&nbsp;x-intercept&nbsp;of&nbsp;the&nbsp;line&nbsp;passing&nbsp;through&nbsp;(1,&nbsp;4)&nbsp;and&nbsp;(4,&nbsp;1)?

A&nbsp;line&nbsp;passes&nbsp;thru&nbsp;(1,&nbsp;-3)&nbsp;and&nbsp;(-4,&nbsp;2.&nbsp;Write&nbsp;the&nbsp;equation&nbsp;of&nbsp;the&nbsp;line&nbsp;in&nbsp;slope-intercept&nbsp;form.

Given&nbsp;three&nbsp;vertices&nbsp;of&nbsp;a&nbsp;triangle&nbsp;whose&nbsp;coordinates&nbsp;are&nbsp;A&nbsp;(1,&nbsp;1),&nbsp;B&nbsp;(3,&nbsp;-3)&nbsp;and&nbsp;(5,&nbsp;-3).&nbsp;Find&nbsp;the&nbsp;area&nbsp;of&nbsp;the&nbsp;triangle.

In&nbsp;a&nbsp;Cartesian&nbsp;coordinates,&nbsp;the&nbsp;vertices&nbsp;of&nbsp;a&nbsp;triangle&nbsp;are&nbsp;defined&nbsp;by&nbsp;the&nbsp;following&nbsp;points:&nbsp;(-2,&nbsp;0)&nbsp;and&nbsp;(3,&nbsp;3).&nbsp;What&nbsp;is&nbsp;the&nbsp;area?

What&nbsp;is&nbsp;the&nbsp;slope&nbsp;of&nbsp;the&nbsp;line&nbsp;3x&nbsp;+&nbsp;2y&nbsp;+&nbsp;1&nbsp;=&nbsp;0?

Find&nbsp;the&nbsp;slope&nbsp;of&nbsp;the&nbsp;line&nbsp;defined&nbsp;by&nbsp;y&nbsp;&ndash;&nbsp;x&nbsp;=&nbsp;5.

What&nbsp;is&nbsp;the&nbsp;length&nbsp;of&nbsp;the&nbsp;line&nbsp;with&nbsp;a&nbsp;slope&nbsp;of&nbsp;4/3&nbsp;from&nbsp;a&nbsp;point&nbsp;(6,&nbsp;4)&nbsp;to&nbsp;the&nbsp;y-axis?

Find&nbsp;the&nbsp;distance&nbsp;between&nbsp;the&nbsp;given&nbsp;lines&nbsp;4x&nbsp;&ndash;&nbsp;3y&nbsp;=&nbsp;12&nbsp;and&nbsp;4x&nbsp;&ndash;&nbsp;3y&nbsp;=&nbsp;-8.

The&nbsp;distance&nbsp;from&nbsp;a&nbsp;point&nbsp;(1,&nbsp;3)&nbsp;to&nbsp;the&nbsp;line&nbsp;4x&nbsp;+&nbsp;3y&nbsp;+&nbsp;12&nbsp;=&nbsp;0&nbsp;is

Determine&nbsp;the&nbsp;distance&nbsp;from&nbsp;(5,&nbsp;10)&nbsp;to&nbsp;the&nbsp;line&nbsp;x&nbsp;&ndash;&nbsp;y&nbsp;=&nbsp;0.

The&nbsp;distance&nbsp;from&nbsp;the&nbsp;point&nbsp;(2,&nbsp;1)&nbsp;to&nbsp;the&nbsp;line&nbsp;4x&nbsp;&ndash;&nbsp;3y&nbsp;+&nbsp;5&nbsp;=&nbsp;0&nbsp;is?

The&nbsp;two&nbsp;points&nbsp;on&nbsp;the&nbsp;lines&nbsp;2x&nbsp;=&nbsp;3y&nbsp;+&nbsp;4&nbsp;=&nbsp;0&nbsp;which&nbsp;are&nbsp;at&nbsp;a&nbsp;distance&nbsp;2&nbsp;from&nbsp;the&nbsp;line&nbsp;3x&nbsp;+&nbsp;4y&nbsp;&ndash;&nbsp;6&nbsp;=&nbsp;0&nbsp;are?

Find&nbsp;the&nbsp;distance&nbsp;of&nbsp;the&nbsp;line&nbsp;3x&nbsp;+&nbsp;4y&nbsp;=&nbsp;5&nbsp;from&nbsp;the&nbsp;origin.

What&nbsp;is&nbsp;the&nbsp;acute&nbsp;angle&nbsp;between&nbsp;the&nbsp;lines&nbsp;y&nbsp;=&nbsp;3x&nbsp;+&nbsp;2&nbsp;and&nbsp;y&nbsp;=&nbsp;4x&nbsp;+&nbsp;9?

Find&nbsp;the&nbsp;angle&nbsp;between&nbsp;the&nbsp;lines&nbsp;3x&nbsp;+&nbsp;2y&nbsp;=&nbsp;6&nbsp;and&nbsp;x&nbsp;+&nbsp;y&nbsp;=&nbsp;6.

Find&nbsp;the&nbsp;angle&nbsp;formed&nbsp;by&nbsp;the&nbsp;lines&nbsp;2x&nbsp;+&nbsp;y&nbsp;&ndash;&nbsp;8&nbsp;=&nbsp;0&nbsp;and&nbsp;x&nbsp;+&nbsp;3y&nbsp;+&nbsp;4&nbsp;=&nbsp;0.

Find&nbsp;the&nbsp;inclination&nbsp;of&nbsp;the&nbsp;line&nbsp;passing&nbsp;through&nbsp;(-5,&nbsp;3)&nbsp;and&nbsp;(10,&nbsp;7).

If&nbsp;the&nbsp;slope&nbsp;of&nbsp;the&nbsp;line&nbsp;connecting&nbsp;the&nbsp;origin&nbsp;and&nbsp;point&nbsp;P&nbsp;is&nbsp;&frac34;,&nbsp;find&nbsp;the&nbsp;abscissa&nbsp;of&nbsp;P&nbsp;if&nbsp;its&nbsp;ordinate&nbsp;is&nbsp;6.

The&nbsp;points&nbsp;(a,&nbsp;1),&nbsp;(b,&nbsp;2)&nbsp;and&nbsp;(c,&nbsp;3)&nbsp;are&nbsp;collinear.&nbsp;Which&nbsp;of&nbsp;the&nbsp;following&nbsp;is&nbsp;true?

The&nbsp;segment&nbsp;from&nbsp;(-1,&nbsp;4)&nbsp;to&nbsp;(2,&nbsp;-2)&nbsp;is&nbsp;extended&nbsp;three&nbsp;times&nbsp;its&nbsp;own&nbsp;length.&nbsp;The&nbsp;terminal&nbsp;point&nbsp;is

Determine&nbsp;the&nbsp;coordinates&nbsp;of&nbsp;the&nbsp;point&nbsp;which&nbsp;is&nbsp;three-fifths&nbsp;of&nbsp;the&nbsp;way&nbsp;from&nbsp;the&nbsp;point&nbsp;(2,&nbsp;-5)&nbsp;to&nbsp;the&nbsp;point&nbsp;(-3,&nbsp;5).

If&nbsp;(-2,&nbsp;-4)&nbsp;is&nbsp;the&nbsp;midpoint&nbsp;of&nbsp;(6,&nbsp;-7)&nbsp;and&nbsp;(x,&nbsp;y),&nbsp;then&nbsp;the&nbsp;values&nbsp;of&nbsp;x&nbsp;and&nbsp;y&nbsp;are

The&nbsp;line&nbsp;segment&nbsp;connecting&nbsp;(x,&nbsp;6)&nbsp;and&nbsp;(9,&nbsp;y)&nbsp;is&nbsp;bisected&nbsp;by&nbsp;the&nbsp;point&nbsp;(7,&nbsp;3).&nbsp;Find&nbsp;the&nbsp;values&nbsp;of&nbsp;x&nbsp;and&nbsp;y.

Find&nbsp;the&nbsp;coordinate&nbsp;of&nbsp;a&nbsp;point&nbsp;equidistant&nbsp;from&nbsp;(1,&nbsp;-6),&nbsp;(5,&nbsp;-6)&nbsp;and&nbsp;(6,&nbsp;-1).

If&nbsp;the&nbsp;distance&nbsp;between&nbsp;points&nbsp;(3,&nbsp;y)&nbsp;and&nbsp;(8,&nbsp;7)&nbsp;is&nbsp;13,&nbsp;then&nbsp;y&nbsp;is&nbsp;equal&nbsp;to

Find&nbsp;the&nbsp;distance&nbsp;between&nbsp;A&nbsp;(4,&nbsp;&ndash;3)&nbsp;and&nbsp;B&nbsp;(&ndash;2,&nbsp;5).

The&nbsp;linear&nbsp;distance&nbsp;between&nbsp;&ndash;4&nbsp;and&nbsp;17&nbsp;on&nbsp;the&nbsp;number&nbsp;line&nbsp;is

Which&nbsp;point&nbsp;lies&nbsp;above&nbsp;x-axis?

&nbsp;Which&nbsp;point&nbsp;lies&nbsp;in&nbsp;IV&nbsp;quadrant?

Which&nbsp;point&nbsp;lies&nbsp;on&nbsp;the&nbsp;left&nbsp;of&nbsp;y-axis?

Which&nbsp;line&nbsp;is&nbsp;parallel&nbsp;to&nbsp;y=x-2?

Which&nbsp;point&nbsp;lies&nbsp;to&nbsp;the&nbsp;right&nbsp;of&nbsp;y-axis?

Which&nbsp;point&nbsp;lies&nbsp;on&nbsp;y-axis?

Which&nbsp;point&nbsp;lies&nbsp;on&nbsp;x-axis?

Which&nbsp;graph&nbsp;is&nbsp;parallel&nbsp;to&nbsp;x-axis?

The equation of the line through (-3, -5) parallel to 7x + 2y – 4 = 0 is

Which of the following lines is parallel to the line 3x – 2y + 6 = 0?

Find the equation of the perpendicular bisector of the line joining (5, 0) and (-7, 3).

Find the equation of the line through point (3, 1) and is perpendicular to the line x + 5y +5 = o.

What is the equation of the line that passes thru (4, 0) and is parallel to the line x – y – 2 = 0?

A line through (-5, 2) and (1, -4) is perpendicular to the line through (x, -7) and (8, 7). Find the x.

The line 2x – 3y + 2 = 0 is perpendicular to another line L1 of unknown equation. Find the slope of L1.

Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0.

Find the equation of the line if the x-intercept and y-intercept are -2 and 4, respectively.

Find the equation of the line passing through the origin and with a slope of 6?

A line with an inclination of 45º passes through (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6?

The equation of a line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is,

If the points (-2, 3), (x, y) and (-3, 5) lie on a straight line, then the equation of the line is _______.

Find the equation of the straight line with a slope of 3 and a y-intercept of 1.

What is the x-intercept of the line passing through (1, 4) and (4, 1)?

A line passes thru (1, -3) and (-4, 2. Write the equation of the line in slope-intercept form.

Given three vertices of a triangle whose coordinates are A (1, 1), B (3, -3) and (5, -3). Find the area of the triangle.

In a Cartesian coordinates, the vertices of a triangle are defined by the following points: (-2, 0) and (3, 3). What is the area?

What is the slope of the line 3x + 2y + 1 = 0?

Find the slope of the line defined by y – x = 5.

What is the length of the line with a slope of 4/3 from a point (6, 4) to the y-axis?

Find the distance between the given lines 4x – 3y = 12 and 4x – 3y = -8.

The distance from a point (1, 3) to the line 4x + 3y + 12 = 0 is

Determine the distance from (5, 10) to the line x – y = 0.

The distance from the point (2, 1) to the line 4x – 3y + 5 = 0 is?

The two points on the lines 2x = 3y + 4 = 0 which are at a distance 2 from the line 3x + 4y – 6 = 0 are?

Find the distance of the line 3x + 4y = 5 from the origin.

What is the acute angle between the lines y = 3x + 2 and y = 4x + 9?

Find the angle between the lines 3x + 2y = 6 and x + y = 6.

Find the angle formed by the lines 2x + y – 8 = 0 and x + 3y + 4 = 0.

Find the inclination of the line passing through (-5, 3) and (10, 7).

If the slope of the line connecting the origin and point P is ¾, find the abscissa of P if its ordinate is 6.

The points (a, 1), (b, 2) and (c, 3) are collinear. Which of the following is true?

The segment from (-1, 4) to (2, -2) is extended three times its own length. The terminal point is

Determine the coordinates of the point which is three-fifths of the way from the point (2, -5) to the point (-3, 5).

If (-2, -4) is the midpoint of (6, -7) and (x, y), then the values of x and y are

The line segment connecting (x, 6) and (9, y) is bisected by the point (7, 3). Find the values of x and y.

Find the coordinate of a point equidistant from (1, -6), (5, -6) and (6, -1).

If the distance between points (3, y) and (8, 7) is 13, then y is equal to

Find the distance between A (4, –3) and B (–2, 5).

The linear distance between –4 and 17 on the number line is

Which point lies above x-axis?

Which point lies in IV quadrant?

Which point lies on the left of y-axis?

Which line is parallel to y=x-2?

Which point lies to the right of y-axis?

Which point lies on y-axis?

Which point lies on x-axis?

Which graph is parallel to x-axis?