Question

Find the equation (in terms of x ) of the line through the points (-4,5) and (2,-7)

Answer 1

y = -2x - 3

Explanation:

Points (-4,5) and (2,-7)

We see the y decrease by 12 and the x increase by 6, so the slope is

m = -12/6 = -2

The equation is y - y1 = m(x - x1)

y - 5 = -2(x - (-4)

y - 5 = -2(x + 4)

y - 5 = -2x - 8

y = -2x - 3

So, the equation is y = -2x - 3