Question

Line AB goes through the points A (0, -4) and B (6,2). Which equation represents line AB?

y- 4= 3x
g- 2 = 3(x - 6)
y + 4 = x

Answer 1

y+4=x

Explanation:

If you plot the line, you will see that the line goes through the y-intercept of (0,-4). So, you need to eliminate your answers so you are left with one that has a y-intercept of (0,-4). The first one is y=3x+4, meaning its y-intercept is (0,4), not (0,-4). The second one is g=3x-16 meaning its y-intercept is (0,-16) not (0,-4). Finally, the last one is y=x-4, meaning its y-intercept is (0,-4) which is correct. If you want to make sure your answer is correct, you plug in (6,2) to this equation. You end up with 2=2 which is true. This means that the point (6,2) is on the line.