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Question
15 graph the equation 8x - 4y = 4. label the slope and y - intercept of the equation. (m) slope: y - intercept:
Step1: Rewrite in slope-intercept form ($y = mx + b$)
Start with the equation \(8x - 4y = 4\). Subtract \(8x\) from both sides: \(-4y = -8x + 4\).
Step2: Solve for \(y\)
Divide every term by \(-4\): \(y=\frac{-8x}{-4}+\frac{4}{-4}\), which simplifies to \(y = 2x - 1\).
Step3: Identify slope and y-intercept
In the slope - intercept form \(y=mx + b\), \(m\) is the slope and \(b\) is the y - intercept. Here, \(m = 2\) and \(b=-1\).
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Slope: \(2\)
Y - Intercept: \(-1\)