# How do you find the slope and y intercept for: x+y=5?

Apr 12, 2018

$\text{slope "=-1," y-intercept } = 5$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "x+y=5" into this form}$

$\text{subtract x from both sides}$

$\cancel{x} \cancel{- x} + y = - x + 5$

$\Rightarrow y = - x + 5 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-1" and y-intercept } = 5$