Question

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.

Answer 1

see explanation

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