Question

A line intersects the points

(8, -4) and (-6, 10).
m = -1
Write an equation in point-slope form
using the point (8, -4).
-
y + 4 = [?] (x −
Enter

Answer 1

y + 4 = -(x - 8)

Explanation:

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

Since we're given m and since they use the 4 from (8, -4) as y - (-4) = y+4, we simply need to plug in 8 into the RHS of the equation and you can check the math.

If you substitute 8 and -4 for y and x, you have:

-4 + 4 = -1(8 - 8)

0 = -1 * 0

0 = 0

You'd get -2 on both sides if you used -6 and 10, but having an equal equation means our math is true/accurate.