# How do you find the slope and y-intercept for the line  y=3x-5?

Oct 1, 2015

Slope: $3$
y-intercept: $\left(- 5\right)$

#### Explanation:

Any linear equation in the form
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$
is in a form called the "slope-intercept form" with a slope of $\textcolor{red}{m}$ and a y-intercept of $\textcolor{b l u e}{b}$

$y = 3 x - 5$ is almost in this form.

Re-writing as $y = \textcolor{red}{3} x + \textcolor{b l u e}{\left(- 5\right)}$ places it in "slope-intercept form"
with slope $\textcolor{red}{3}$ and y-intercept $\textcolor{b l u e}{\left(- 5\right)}$