# How do you find the slope and y intercept of y=10/9 x+4?

Sep 19, 2016

slope $= \frac{10}{9}$
y-intercept = +4

#### 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'.

$y = \frac{10}{9} x + 4 \text{ is in this form}$

By comparison with the standard equation above we obtain.

$\text{slope" =10/9" and y-intercept} = 4$
graph{10/9x+4 [-10, 10, -5, 5]}