# How do you find the slope and intercept of 4x=y+8 ?

Dec 4, 2015

slope$= 4$
Y intercept$= - 8$
X intercept$= 2$

#### Explanation:

Lets change this equation into $y = m x + b$ form.
In this $y = m x + b$ form of the equation, $b$ is your y intercept and $m$ is your slope.

Step 1: Change into $y = m x + b$ form by isolating $y$
$4 x = y + 8$
Take away $8$ from both sides
$4 x - 8 = y$

Step 2: Determine slope:
$y = 4 x - 8$
$4$ is our $m$, so that must mean the slope is $4$ or $\frac{4}{1}$

Step 3: Determine Y intercept:
$y = 4 x - 8$
When the line crosses the $y$ axis, $x$ is at zero, so we can use $x = 0$ to find our $y$ intercept!
$y = 4 \left(0\right) - 8$
$y = - 8$

$- 8$ is our $y$ intercept!

Step 4: Determine $x$ intercept
$y = 4 x - 8$
When the line crosses the $x$ axis, $y$ is zero. So we can make $y = 0$ in our equation!
$0 = 4 x - 8$
$8 = 4 x$
$x = 2$

$2$ is our $x$ intercept
Here is a picture of the graph: graph{4x=y+8 [-10, 10, -5, 5]}