What is the slope of the line given by the equation y−10=−5(x+20)
?(1 point)
Responses
10
10
−5
negative 5
−20
negative 20
5
?(1 point)
Responses
10
10
−5
negative 5
−20
negative 20
5
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the slope of the line given by the equation \( y - 10 = -5(x + 20) \), we will rewrite the equation in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope.
Starting with the equation:
\[
y - 10 = -5(x + 20)
\]
First, distribute \(-5\):
\[
y - 10 = -5x - 100
\]
Next, add \(10\) to both sides:
\[
y = -5x - 100 + 10
\]
This simplifies to:
\[
y = -5x - 90
\]
Now, we can see that the slope \( m \) is \(-5\).
So the slope of the line is:
\[
\boxed{-5}
\]
Starting with the equation:
\[
y - 10 = -5(x + 20)
\]
First, distribute \(-5\):
\[
y - 10 = -5x - 100
\]
Next, add \(10\) to both sides:
\[
y = -5x - 100 + 10
\]
This simplifies to:
\[
y = -5x - 90
\]
Now, we can see that the slope \( m \) is \(-5\).
So the slope of the line is:
\[
\boxed{-5}
\]
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