# How do you find slope and intercepts to graph -3x-5y=6?

Nov 4, 2015

Slope $= - \frac{3}{5}$
Y-Intercept $= - \frac{6}{5}$

#### Explanation:

The question cannot be $- 3 y - 5 y = 6$.

So I changed it to $- 3 x - 5 y = 6$.

But the principle you are going to apply is the same.

The given equation $- 3 x - 5 y = 6$. is in the form of

$a x + b y = c$

In such case the the formula to find slope is $m = - \frac{a}{b}$

We shall apply this in our problem

$m = - \frac{- 3}{- 5} = - \frac{3}{5}$

To find the y-intercept, put $x = 0$ and solve the equation

At x=0; -3(0)-5y=6
$- 5 y = 6$
$y = - \frac{6}{5}$