Question

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(2, -2) ; y = -x - 2

1. y = -2x
2. y = 2x
3. y = 1/2x
4. y = -x

Answer 1

1. y =-2x
Because when plugging in the -2 would be y and the +2 would be x

Answer 2

4

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 2 ← is in slope- intercept form

with m = - 1

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = - 2 + c ⇒ c = - 2 + 2 = 0

y = - x ← equation of line → 4