9514 1404 393
Answer:
y = 2x -6
Explanation:
One form you can use for this purpose is ...
(x2 -x1)(y -y1) = (y2 -y1)(x -x1)
Filling in the given point values, this is ...
(0 -4)(y -2) = (-6 -2)(x -4)
-4y +8 = -8x +32
Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.
y -2 = 2x -8
This can be rearranged to any form you may like--or left as is.
y = 2x -6 . . . . . slope-intercept form