Question

What is the equation of the line that passes through the points (0, -4) and (2, 8)?

A. y = 6x - 4
B. y = 6x + 4
C. y = 4x + 6
D. y = -4x + 6

Answer 1

Option A is your answer, y = 6x - 4.

m = Y₂ - Y₁ / X₂ - X₁

m = 8 - (- 4) / 2 - 0
m = 12 / 2
m = 6

So now your equation is y = 6x + b. This eliminates options C and D. Plug in any of your ordered pairs to find b. I picked the first one.

- 4 = 6(0) + b
- 4 = 0 + b
- 4 = b

Your equation is y = 6x - 4.