To rewrite the equation \(-9y - 11 = -4x\) in slope-intercept form (which is \(y = mx + b\)), follow these steps:
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Isolate the y-term: \[ -9y = -4x + 11 \]
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Divide every term by -9 to solve for y: \[ y = \frac{4}{9}x - \frac{11}{9} \]
So, the equation in slope-intercept form is: \[ y = \frac{4}{9}x - \frac{11}{9} \]