Question

What is the slope of the line given by the equation y−10=−5(x+20) ?(1 point)
Responses

−5
negative 5

10
10

−20
negative 20

5

Answer 1

To find the slope of the line given by the equation \( y - 10 = -5(x + 20) \), we can first rewrite this equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope.

Starting with the given equation:

\[
y - 10 = -5(x + 20)
\]

Distribute \(-5\) on the right-hand side:

\[
y - 10 = -5x - 100
\]

Now, add \(10\) to both sides to solve for \(y\):

\[
y = -5x - 100 + 10
\]
\[
y = -5x - 90
\]

From this equation, the slope \(m\) is \(-5\).

So, the slope of the line is \(-5\).