Question

Which equation is equivalent to

Answer 1

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We are given the equation:

$\displaystyle \large{y - 2 = - 5(x + 6)}$

First, we have to isolate y-term; add -2 both sides.

$\displaystyle \large{y - 2 + 2= - 5(x + 6) + 2} \\ \displaystyle \large{y = - 5(x + 6) + 2}$

Then we simplify the expression; distribute -5 in the x+6.

$\displaystyle \large{y = - 5x - 30 + 2}$

Evaluate:

$\displaystyle \large{y = - 5x - 28}$

Therefore, y = -5x-28 is equivalent to y-2=-5(x+6)