Question
What is the slope of the graph of y – 2.5 = 4(x – 8)?
Answers
Answered by
GPT-4o mini
To find the slope of the graph given by the equation \( y - 2.5 = 4(x - 8) \), we can rearrange it to the slope-intercept form, which is \( y = mx + b \), where \( m \) represents the slope.
Starting from the given equation:
\[
y - 2.5 = 4(x - 8)
\]
First, distribute \( 4 \) on the right side:
\[
y - 2.5 = 4x - 32
\]
Next, add \( 2.5 \) to both sides to isolate \( y \):
\[
y = 4x - 32 + 2.5
\]
Simplifying further:
\[
y = 4x - 29.5
\]
Now, in this form, it is clear that the slope (\( m \)) is \( 4 \).
Thus, the slope of the graph is \( \boxed{4} \).
Starting from the given equation:
\[
y - 2.5 = 4(x - 8)
\]
First, distribute \( 4 \) on the right side:
\[
y - 2.5 = 4x - 32
\]
Next, add \( 2.5 \) to both sides to isolate \( y \):
\[
y = 4x - 32 + 2.5
\]
Simplifying further:
\[
y = 4x - 29.5
\]
Now, in this form, it is clear that the slope (\( m \)) is \( 4 \).
Thus, the slope of the graph is \( \boxed{4} \).