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Rewrite the following equation in slope-intercept form.

y − 3 = 6(x + 4)

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To rewrite the equation \( y - 3 = 6(x + 4) \) in slope-intercept form (which is \( y = mx + b \)), follow these steps:

  1. Distribute the 6 on the right side of the equation: \[ y - 3 = 6x + 24 \]

  2. Add 3 to both sides to isolate \( y \): \[ y = 6x + 24 + 3 \] \[ y = 6x + 27 \]

So, the equation in slope-intercept form is: \[ y = 6x + 27 \]