# What is the slope of 2y=-17y+13x+23?

Apr 5, 2018

$m = \frac{13}{19}$

#### Explanation:

When you write the equation in slope intercept form, the slope will be the coefficient of $x$.

Slope intercept equation:

$y = m x + b$
where $m =$ the slope

We have $2 y = - 17 y + 13 x + 23$

To write this in slope intercept form, we need to combine the $y$ terms and isolate them to one side of the equation. First, add $17 y$ to both sides of the equation:

$2 y + 17 y = - 17 y + 17 y + 13 x + 23$
$19 y = 13 x + 23$

The last step is to divide off the $y$ coefficient:

$\frac{19 y}{19} = \frac{13 x + 23}{19}$

Now we have:
$y = \frac{13}{19} x + \frac{23}{19}$

Thus, $m = \frac{13}{19}$