To find the slope and y-intercept of the line represented by the equation \(12x + 2y = -60\), we will first rewrite the equation in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Starting with the equation:
\[12x + 2y = -60\]
We can solve for \(y\):
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Subtract \(12x\) from both sides: \[ 2y = -12x - 60 \]
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Divide every term by \(2\): \[ y = -6x - 30 \]
Now, the equation is in the form \(y = mx + b\), where:
- \(m = -6\) (the slope)
- \(b = -30\) (the y-intercept)
So, the slope is \(-6\), and the y-intercept is \(-30\).
Thus, the answer is:
Slope: -6
Y-intercept: -30