Question

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

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of line AB, we first need to find the slope (m) of the line using the coordinates of points A and B.

The formula for finding the slope given two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)

Using points A (0, -4) and B (6, 2):
m = (2 - (-4)) / (6 - 0)
m = 6 / 6
m = 1

Now that we have the slope, we can use the point-slope form of a linear equation (y - y1 = m(x - x1)) to find the equation of line AB.

Plugging in the values for the slope and point A (0, -4):
y - (-4) = 1(x - 0)
y + 4 = x

Therefore, the equation representing line AB is y + 4 = x.