Question

What is an equation for the line in slope-intercept form perpendicular to y = -14x – 2 that contains (–3, 1)

Answer 1

y= 1/14 x +17/14

Explanation:

Lines perpendicular to another line have an opposite reciprocal slope, meaning that the sign is changed, and the fraction is flipped. We are going to use point-slope form to solve.

`y-y_(1) =m(x-x_(1) )\\y-1 =(1)/(14) (x+3 )\\y-1=(1)/(14)x+(3)/(14)\\y=(1)/(14)x+(17)/(14)`