Question

Kiana wants to write equations in the form y = mx + b for the lines passing through

point P that are parallel and perpendicular to line q. First she finds the slope of line q
and line r to be and the slope of line s to be – 2. Point P is located at (-3,2).
Which step could be used to find the y-intercepts?

Answer 1

'Substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'.

Explanation:

Kiana wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line q.

This equation is in the slope-intercept form where m is the slope and b is the y-intercept.

First, she finds the slope of line q and the slope of line s to be – 2. Point P is located at (-3,2).

Therefore, the step that can be used to find the y-intercept is 'substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'. (Answer)