# What is the slope and y-intercept of this line y = 3x - 5?

Sep 18, 2016

slope = 3
y-intercept = - 5

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

The advantage to having the equation in this form is that m and b can be extracted 'easily'

$y = 3 x - 5 \text{ is in this form}$

and by comparison with the slope-intercept equation.

slope = 3 and y-intercept = - 5