Question

What is the slope of the line described by the equation below?

y-7=8(x-14)

Answer 1

To find the slope of the line given by the equation \( y - 7 = 8(x - 14) \), we first need to rewrite the equation in slope-intercept form, which is \( y = mx + b \), where \( m \) represents the slope.

Starting with the given equation:

\[
y - 7 = 8(x - 14)
\]

First, distribute the 8 on the right side:

\[
y - 7 = 8x - 112
\]

Next, add 7 to both sides to solve for \( y \):

\[
y = 8x - 112 + 7
\]

This simplifies to:

\[
y = 8x - 105
\]

Now, the equation is in the slope-intercept form \( y = mx + b \). From this, we can see that the slope \( m \) is:

\[
m = 8
\]

Therefore, the slope of the line is \( \boxed{8} \).