# How do you find the slope given 9 - 1/4y = 8x?

Aug 21, 2017

See a solution process below:

#### Explanation:

We can transform this equation into the slope-intercept form to find the slope. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

$9 - \frac{1}{4} y = 8 x$

$- \textcolor{red}{9} + 9 - \frac{1}{4} y = 8 x - \textcolor{red}{9}$

$0 - \frac{1}{4} y = 8 x - 9$

$- \frac{1}{4} y = 8 x - 9$

$\textcolor{red}{- 4} \times - \frac{1}{4} y = \textcolor{red}{- 4} \left(8 x - 9\right)$

$\cancel{\textcolor{red}{- 4}} \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4}}}} y = \left(\textcolor{red}{- 4} \times 8 x\right) - \left(\textcolor{red}{- 4} \times 9\right)$

$y = \textcolor{red}{- 32} x + \textcolor{b l u e}{36}$

The slope of the line represented by the equation is: $\textcolor{red}{- 32}$