To find the slope of the line given by the equation \( y - 10 = -5(x + 20) \), you should first rewrite the equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope.
Starting from the given equation:
\[ y - 10 = -5(x + 20) \]
Distributing the \(-5\):
\[ y - 10 = -5x - 100 \]
Next, add \( 10 \) to both sides to isolate \( y \):
\[ y = -5x - 100 + 10 \] \[ y = -5x - 90 \]
Now, in the equation \( y = -5x - 90 \), the coefficient of \( x \) is \(-5\), which represents the slope \( m \).
So, the slope of the line is \(-5\).
Correct response: −5