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6. y + 5 = -6(x + 7)

Question

  1. y + 5 = -6(x + 7)

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we have \(y + 5=-6x-42\)

Step2: Solve for y

Subtract 5 from both sides: \(y=-6x - 42-5\)
Simplify the right side: \(y=-6x-47\)

Answer:

The equation in slope - intercept form is \(y = - 6x-47\)