To rewrite the equation \( y - 10 = -9(x + 9) \) in slope-intercept form (which is \( y = mx + b \)), we will follow these steps:
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Distribute the \(-9\) on the right side: \[ y - 10 = -9x - 81 \]
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Add \(10\) to both sides of the equation to solve for \(y\): \[ y = -9x - 81 + 10 \] \[ y = -9x - 71 \]
So, the equation in slope-intercept form is: \[ y = -9x - 71 \]