Question
What is the slope of the line given by the equation y- 10 = -5 ( x + 20)?
A: -20
B: 10
C: -5
D: 5
A: -20
B: 10
C: -5
D: 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 can either rewrite the equation in slope-intercept form \( y = mx + b \), where \( m \) is the slope, or we can directly identify the slope from the equation.
Starting with the given equation:
\[
y - 10 = -5 (x + 20)
\]
First, distribute the -5 on the right-hand side:
\[
y - 10 = -5x - 100
\]
Next, add 10 to both sides to isolate \( y \):
\[
y = -5x - 100 + 10
\]
This simplifies to:
\[
y = -5x - 90
\]
Now, the equation is in slope-intercept form \( y = mx + b \), where \( m \) is the slope. Here, the slope \( m = -5 \).
Thus, the slope of the line is:
\[
\text{C: } -5
\]
Starting with the given equation:
\[
y - 10 = -5 (x + 20)
\]
First, distribute the -5 on the right-hand side:
\[
y - 10 = -5x - 100
\]
Next, add 10 to both sides to isolate \( y \):
\[
y = -5x - 100 + 10
\]
This simplifies to:
\[
y = -5x - 90
\]
Now, the equation is in slope-intercept form \( y = mx + b \), where \( m \) is the slope. Here, the slope \( m = -5 \).
Thus, the slope of the line is:
\[
\text{C: } -5
\]
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