To convert the equation \(-2y = 14 - 6x\) to slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
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Start with the original equation:
\[ -2y = 14 - 6x \]
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Divide every term by \(-2\) to solve for \(y\):
\[ y = \frac{14}{-2} - \frac{6x}{-2} \]
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Simplifying the fractions gives:
\[ y = -7 + 3x \]
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This can be rearranged to:
\[ y = 3x - 7 \]
So the equation in slope-intercept form is:
\[ y = 3x - 7 \]
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