# What is the slope of 2=-15y+13x?

Jul 19, 2018

The slope is $\frac{13}{15}$.

#### Explanation:

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easier:

First, add $\textcolor{b l u e}{15 y}$ to both sides of the equation:
$2 \quad \textcolor{b l u e}{+ \quad 15 y} = - 15 y + 13 x \quad \textcolor{b l u e}{+ \quad 15 y}$

$2 + 15 y = 13 x$

Subtract $\textcolor{b l u e}{2}$ from both sides:
$2 + 15 y \quad \textcolor{b l u e}{- \quad 2} = 13 x \quad \textcolor{b l u e}{- \quad 2}$

$15 y = 13 x - 2$

Divide both sides by $\textcolor{b l u e}{15}$:
$\frac{15 y}{\textcolor{b l u e}{15}} = \frac{13 x - 2}{\textcolor{b l u e}{15}}$

$y = \frac{13}{15} x - \frac{2}{15}$

We know that the number multiplied by $x$ is the slope, meaning that the slope is $\frac{13}{15}$.

Hope this helps!

Jul 19, 2018

$\frac{13}{15}$

#### Explanation:

We can easily find the slope by converting this equation into slope-intercept form

$y = m x + b$, with slope $m$.

We have the equation

$- 15 y + 13 x = 2$

Let's subtract $13 x$ from both sides to get

$- 15 y = - 13 x + 2$

Next, divide both sides by $- 15$ to get

$y = \frac{13}{15} x - \frac{2}{15}$

We see that the coefficient on our $x$ term is $\frac{13}{15}$, which is our slope.

Hope this helps!