Reduce the equation 5x + 7y – 35 = 0 to slope-intercept form, and hence find the slope and the y-intercept of the line
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Given equation is 5x + 7y -35 = 0
We can rewrite it as 7y = 35 – 5x
⇒ 7y = – 5x + 35
⇒ y = \(-\frac{5}{7}x+5\)
This equation is in the slope-intercept form i.e. it is the form of
y = m x x + c, where m is the slope of the line and c is y-intercept of the line
Therefore, m = -5/7 and c = 5
Conclusion: Slope is -5/7 and y – intercept is 5