Question

y - 4 = -3(x - 3)

Explanation:

Step1: Expand the right - hand side

We use the distributive property \(a(b - c)=ab - ac\). Here, \(a=-3\), \(b = x\) and \(c = 3\). So, \(-3(x - 3)=-3x+9\). The equation becomes \(y - 4=-3x + 9\).

Step2: Solve for y

Add 4 to both sides of the equation. \(y-4 + 4=-3x+9 + 4\).

Answer:

\(y=-3x + 13\)