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put the following equation of a line into slope-intercept form, simplifying all fractions.
4y - 4x = -36
Step1: Add \(4x\) to both sides
To isolate the term with \(y\), we add \(4x\) to both sides of the equation \(4y - 4x=-36\). This gives us \(4y=4x - 36\).
Step2: Divide by 4
Now, we divide every term in the equation \(4y = 4x-36\) by 4 to solve for \(y\). So, \(\frac{4y}{4}=\frac{4x}{4}-\frac{36}{4}\), which simplifies to \(y = x-9\).
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\(y = x - 9\)