# How do you find the slope and intercept of x+2y=3?

Apr 1, 2017

$\text{slope "=-1/2" and intercept } = \frac{3}{2}$

#### Explanation:

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

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

$\text{Rearrange " x+2y=3" into this form}$

subtract x from both sides.

$\cancel{x} \cancel{- x} + 2 y = - x + 3$

$\Rightarrow 2 y = - x + 3$

divide ALL terms by 2

$\frac{\cancel{2} y}{\cancel{2}} = - \frac{1}{2} x + \frac{3}{2}$

$\Rightarrow y = - \frac{1}{2} x + \frac{3}{2} \leftarrow \text{ in form } y = m x + b$

$\Rightarrow \text{slope "=m=-1/2" and y-intercept } = b = \frac{3}{2}$