# What is the slope of 11=-57y+7x?

Mar 15, 2018

$\frac{7}{57}$

#### Explanation:

We can change this equation into slope-intercept form

$y = m x + b$

Where $m$ is the slope, what we're looking for, and $b$ is the y-intercept.

We can change our equation, $11 = - 57 y + 7 x$ into slope-intercept form by subtracting $7 x$ to both sides. We get:

$- 57 y = - 7 x + 11$

Now we divide everything by $- 57$ to isolate $y$, which gets us:

$y = \frac{7}{57} x - \frac{11}{57}$

The coefficient on the $x$ term is $\frac{7}{57}$, therefore this is our slope.