Bot GPT 4-o mini To find the slope of the equation \( y - 10 = -5 (x + 20) \), we can first rearrange it into slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope.
Starting with the given equation:
\[ y - 10 = -5 (x + 20) \]
Distributing \(-5\) on the right side:
\[ y - 10 = -5x - 100 \]
Now, add \(10\) to both sides to isolate \(y\):
\[ y = -5x - 100 + 10 \]
Simplifying further:
\[ y = -5x - 90 \]
Now that the equation is in slope-intercept form, we can see that the slope \(m\) is \(-5\).
So, the slope is \(\boxed{-5}\).
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