what is the equation that represents a line that passes through points (−6, 4) and (2, 0).

Answer 1

First, we have to find the slope, change in y over change in x. We can go either direction, but make sure to go the same direction.

(4 - 0)/(-6 - 2) or (0 - 4)/(2 - (-6)) = -4/8 = -1/2

We can do the next part two ways, too, either by plugging in one of the points (either one) and solving for b, our y-intercept, or using the formula.

4 = (-1/2)(-6) + b

4 = 3 + b

1 = b

y = (-1/2)x + 1

or...

y - 4 = (-1/2)(y - (-6))

y - 4 = (-1/2)y - 3

y = (-1/2)x + 1

Boom.