# How do you find the slope and intercept of 4x - y = 13?

Feb 7, 2016

slope is $4$
$x$ - intercept $\left(\frac{13}{4} , 0\right)$
$y$- intercept $\left(0 , - 13\right)$

#### Explanation:

to get the slope, we need to change the equation in to the form of $y = m x + b , m =$slope

$4 x - y = 13$
$y = 4 x - 13$
$m = 4$
m or slope is the coefficient of the term containing $x$

for the intercepts,

by definition $x$- intercept means the point that lies of the $x$ axis
and $y$- intercept means the points on the $y$ axis

so for the $x$- intercept,
just substitute $y$ to $0$, then solve for x

$4 x - y = 13$
$4 x - 0 = 13$
$x = \frac{13}{4}$

$x$ - intercept $\left(\frac{13}{4} , 0\right)$

for the $y$- intercept
just substitute $x$ to $0$, then solve for y
$4 x - y = 13$
$4 \left(0\right) - y$
$y = - 13$

$y$- intercept $\left(0 , - 13\right)$