Why is this work not correct ?

Question

A student writes the equation for a line that has a slope of -6 and passes through point (2, -8).

y -(-8) = -6 (x-2

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8

y = -6x + 20

Answer 1

You added 8 to both sides of the equation when you should have subtracted 8.

Let's start from here:

y-(-8) = -6x + 12

-(-8) is the same as +8

y+8 = -6x+12

y+8-8 = -6x + 12 - 8

y = -6x+4