Question

What is the equation of the line that passes through (-2, 2) and (1, -4)?

a. y = 2x- 2
b. y = -2x- 4
c. y = -2x- 2
d. y = 2x+ 4

Answer 1

Find the slope first.

Answer 2

An easier method... put the points in each option and see which one satisfies.

Answer 3

set 1 (-2,2)....set 2 (1,-4)
m = (y2 - y1) / (x2 - x1) -- m is the slope
m = (-4 -2) / (1 - (-2)
m = -6/3 = - 2
slope is -2
y = mx + b using points (1,-4)
-4 = -2(1) + b
-4 = - 2 + b
- 2 = b (b is the y intercept)
ANSWER : y = -2x - 2