# How do you find the slope and intercepts of x-2y=8?

Dec 8, 2016

$\text{slope " =1/2," intercepts are } - 4 , 8$

#### 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.

$\text{Rearrange " x-2y=8" into this form}$

Leave - 2y on the left side and subtract x from both sides.

$\cancel{x} \cancel{- x} - 2 y = - x + 8$

$\Rightarrow - 2 y = - x + 8$

divide ALL terms on both sides by - 2

$\frac{\cancel{- 2} y}{\cancel{- 2}} = \frac{- 1}{- 2} x + \frac{8}{- 2}$

$\Rightarrow y = \frac{1}{2} x - 4 \leftarrow \text{ now in above form}$

$\Rightarrow \text{slope " =1/2" and y-intercept } = - 4$

To find the x-intercept, substitute y = 0 into the equation and solve for x.

$\Rightarrow x - \left(2 \times 0\right) = 8 \Rightarrow x = 8 \text{ is the x-intercept}$