Hey there! :)
We are given the equation:
[tex] \displaystyle \large{y - 2 = - 5(x + 6)}[/tex]
First, we have to isolate y-term; add -2 both sides.
[tex] \displaystyle \large{y - 2 + 2= - 5(x + 6) + 2} \\ \displaystyle \large{y = - 5(x + 6) + 2}[/tex]
Then we simplify the expression; distribute -5 in the x+6.
[tex] \displaystyle \large{y = - 5x - 30 + 2}[/tex]
Evaluate:
[tex] \displaystyle \large{y = - 5x - 28}[/tex]
Therefore, y = -5x-28 is equivalent to y-2=-5(x+6)
