Question

rewrite the equation in ax + by = c form. use integers for a, b, and c. y + 5 = -4(x - 6)

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b - c)=ab - ac\), we have \(-4(x - 6)=-4x+24\). So the equation becomes \(y + 5=-4x + 24\).

Step2: Move all terms to left side

Add \(4x\) to both sides and subtract \(24\) from both sides. \(4x+y+5 - 24=-4x+24+4x - 24\). Simplify to get \(4x + y=-19\).

Answer:

\(4x + y=-19\)