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?

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

Step-by-step 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)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source