Question

rewrite the equation in ax + by = c form. use integers for a, b, and c. y - 6 = -6(x + 4)

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b + c)=ab+ac\) to expand \(-6(x + 4)\). So \(-6(x + 4)=-6x-24\). The equation becomes \(y - 6=-6x-24\).

Step2: Move all terms to the left side (or rearrange to \(Ax + By = C\) form)

We add \(6x\) and \(24\) to both sides of the equation. Adding \(6x\) to both sides: \(6x + y-6=-24\). Then adding \(6\) to both sides: \(6x + y=-24 + 6\).

Step3: Simplify the right side

Simplify \(-24 + 6=-18\). So the equation in \(Ax+By = C\) form is \(6x + y=-18\).

Answer:

\(6x + y=-18\)