To rewrite the equation \( y - 6 = 10(x - 9) \) in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:
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Distribute the 10 on the right side of the equation: \[ y - 6 = 10x - 90 \]
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Add 6 to both sides to isolate \( y \): \[ y = 10x - 90 + 6 \] \[ y = 10x - 84 \]
So, the equation in slope-intercept form is: \[ y = 10x - 84 \]