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
To find the equation of the line AB, we first calculate the slope of the line using the coordinates of points A and B.
Slope (m) = (y2 - y1) / (x2 - x1)
= (2 - (-4)) / (6 - 0)
= 6 / 6
= 1
Now we have the slope of the line which is 1. Next, we can use the point-slope form of the linear equation to find the equation of the line AB.
y - y1 = m(x - x1)
Plugging in the values of point A (0, -4) and the slope m = 1, we get:
y - (-4) = 1(x - 0)
y + 4 = x
Therefore, the equation representing line AB is:
y + 4 = x.
So the correct equation is:
y + 4 = x