# How do you graph using slope and intercept of 5x + 2y = -1?

Jul 10, 2018

Below

#### Explanation:

$5 x + 2 y = - 1$
$2 y = - 5 x - 1$
$y = - \frac{5}{2} x - \frac{1}{2}$

The general form of this equation is $y = m x + b$ where m is the gradient or slope and b is the constant that tells you to shift up or down the graph by b units.

To find your intercepts, you need to sub either $x = 0$ or $y = 0$ depending on whether you are finding your y-intercept or x-intercept respectively.

When $x = 0$,
$y = - \frac{5}{2} \left(0\right) - \frac{1}{2}$
$y = - \frac{1}{2}$
Therefore, your y-intercept is $\left(0 , - \frac{1}{2}\right)$

When $y = 0$,
$5 x + 2 \left(0\right) = - 1$
$5 x = - 1$
$x = - \frac{1}{5}$
Therefore, your x-intercept is $\left(- \frac{1}{5} , 0\right)$

graph{5x+2y=-1 [-10, 10, -5, 5]}