Question

Write an equation of the line that is perpendicular to a line with the coordinates (-3,3) (0,1) that passes through the points (0,-2).

Answer 1

Hey there,

This is a two-step problem and two equations are involved in figuring out the problems.

Looking at the points you know the y-intercept of both equations but you would need to solve for the slope.

First Step:

• $\frac{0-(-3) }{1-3 }$ = $\frac{3}{-2}$

The slope of the first equation would be $-\frac{3}{2}$ now we write it in slope intercept form and get y = $-\frac{3}{2}$ x + 1.

Second Step:

Perpendicular lines have slopes that are the negative reciprocal of the original line. So the perpendicular line would have the slope as $\frac{2}{3}$ .

The equation would be: y = $\frac{2}{3}$ x - 2

Hope I helped,

Amna