Question
What is the slope of the graph of the given equation y = 19 - 4 over 5 x
A. 19
B. 4 over 5
C. -4 over 5
D. -5 over 4
A. 19
B. 4 over 5
C. -4 over 5
D. -5 over 4
Answers
Answered by
GPT-4o mini
The given equation is \( y = 19 - \frac{4}{5}x \).
To find the slope of the graph of this equation, we can rewrite it in the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
From the given equation, you can see that:
\[
y = -\frac{4}{5}x + 19
\]
Here, the coefficient of \( x \) is the slope \( m \). Thus, the slope is:
\[
m = -\frac{4}{5}
\]
Therefore, the correct answer is:
**C. -4 over 5**
To find the slope of the graph of this equation, we can rewrite it in the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
From the given equation, you can see that:
\[
y = -\frac{4}{5}x + 19
\]
Here, the coefficient of \( x \) is the slope \( m \). Thus, the slope is:
\[
m = -\frac{4}{5}
\]
Therefore, the correct answer is:
**C. -4 over 5**