Question

write the equation in slope - intercept form.
$y + 5=-6(x + 7)$

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b + c)=ab+ac\). Here, \(a = - 6\), \(b=x\), \(c = 7\), so \(-6(x + 7)=-6x-42\). The equation becomes \(y + 5=-6x-42\).

Step2: Isolate y

Subtract 5 from both sides of the equation. Using the subtraction property of equality, \(y+5 - 5=-6x-42 - 5\). Simplifying both sides, we get \(y=-6x-47\).

Answer:

\(y = - 6x-47\)