7. Let P = (-2,4).

a. Line r is horizontal and passes through P. Write an equation for r.

b. Line s is vertical and passes through P. Write an equation for s.

see explanation

Step-by-step explanation:

(a)

A horizontal line parallel to the x - axis has equation

y = c

where c is the value of the y - coordinates the line passes through.

The line passes through ( - 2, 4) with y - coordinate 4, thus

y = 4 ← equation of horizontal line

(b)

A vertical line parallel to the y - axis has equation

x = c

where c is the value of the x - coordinates the line passes through.

The line passes through ( - 2, 4) with x - coordinate - 2, thus

x = - 2 ← equation of vertical line