To transform the equation \( -2y = 14 - 6x \) into slope-intercept form, we need to isolate \( y \).
Starting with the original equation:
\[ -2y = 14 - 6x \]
Now, divide every term by -2 to solve for \( y \):
\[ y = \frac{14}{-2} - \frac{6x}{-2} \]
This simplifies to:
\[ y = -7 + 3x \]
We can rewrite that as:
\[ y = 3x - 7 \]
So, the equation in slope-intercept form is:
\[ y = 3x - 7 \]
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