To convert the equation \( y + 5 = -5(x - 1) \) into 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:
\[ y + 5 = -5(x - 1) \]
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Distribute the \(-5\) on the right side:
\[ y + 5 = -5x + 5 \]
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Subtract \( 5 \) from both sides to isolate \( y \):
\[ y = -5x + 5 - 5 \]
\[ y = -5x \]
So, the equation in slope-intercept form is:
\[ y = -5x \]
Here, the slope \( m \) is \(-5\) and the y-intercept \( b \) is \(0\).