# How do you find the slope and intercept of -5x - 2y = 18?

May 6, 2016

Slope = $- \frac{5}{22}$

$y$-intercept is $- 9$ and the point is $\left(0 , - 9\right)$

$x$-intercept is $- 3.6$ and the point is $\left(- 3.6 , 0\right)$

#### Explanation:

First, we find the slope and $y$-intercept

Now, the equation of a line is of the form $\textcolor{red}{y = m x + c}$

Where, $m$ is the slope of the line and $c$ is the $y$-intercept.

Let us write the given line in the standard form:

$y = - \frac{5 x}{2} - \frac{18}{2}$

$\implies y = - \frac{5 x}{2} - 9$

Comparing $y = m x + c$ to the given equation, $y = - \frac{5 x}{2} - 9$

$m = - \frac{5}{2}$ and $c = - 9$

$\implies$ Slope $= - \frac{5}{2}$ and $y$-intercept $= - 9$

Next, we work out the $x$-intercept.

The $x$-intercept is the point where the line cuts the $x$-axis. i.e. to find the point when $y = 0$.

Pretty simple.

Here is a step-by-step calculate the $x$-intercept .

$x$-intercept is $- 3.6$.