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

Question

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 $\boxed{{\displaystyle 8}}$.