To find the slope and y-intercept of the line given by the equation \(6x + 2y = -88\), we can rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
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Start with the equation: \[ 6x + 2y = -88 \]
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Subtract \(6x\) from both sides: \[ 2y = -6x - 88 \]
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Now, divide every term by \(2\) to solve for \(y\): \[ y = -3x - 44 \]
Now, we can identify the slope and y-intercept:
- The slope (\(m\)) is \(-3\).
- The y-intercept (\(b\)) is \(-44\).
So, the slope is \(-3\) and the y-intercept is \(-44\).
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