Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope –2.
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Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope –2.
Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope –2.
It is known that if a line with slope m makes x-intercept d, then the equation of the line is given as y = m(x – d)
For the line intersecting the x-axis at a distance of 3 units to the left of the origin,
d = –3.
The slope of the line is given as m = –2
Thus, the required equation of the given line is y = –2 [x – (–3)] y = –2x – 6
i.e., 2x + y + 6 = 0