How do you find the slope & y-intercept of the equation 2x+y=5?

Apr 9, 2018

$\text{slope "=-2," y-intercept } = 5$

Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "2x+y=5" into this form}$

$\text{subtract 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} + y = - 2 x + 5$

$\Rightarrow y = - 2 x + 5 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-2" and y-intercept } = 5$
graph{2x+5 [-20, 20, -10, 10]}