# How do you find the slope and intercept of y=3x+4?

Dec 15, 2015

Slope: $3$
y-intercept: $4$
x-intercept: $\left(- \frac{4}{3}\right)$

#### Explanation:

Any linear equation in the form
$\textcolor{w h i t e}{\text{XXX}} y = m x + b$
is said to be in slope-intercept form with slope $m$ and y-intercept $b$

$y = 3 x + 4$ is in this form
So the slope is $3$ and the y-intercept is $4$

To find the x-intercept, set $y = 0$ and solve for $x$
$\textcolor{w h i t e}{\text{XXX}} 0 = 3 x + 4$

$\textcolor{w h i t e}{\text{XXX}} - 3 x = 4$

$\textcolor{w h i t e}{\text{XXX}} x = - \frac{4}{3}$