How do you express 2x+y=8 in the form y=mx+b, what is the slope and y intercept?

Jan 2, 2017

See full explanation below.

Explanation:

To express this equation in the form of $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$ you need to subtract color(green)(2x) from each side of the equation:

$2 x - \textcolor{g r e e n}{2 x} + y = \textcolor{g r e e n}{2 x} + 8$

$0 + y = - 2 x + 8$

$y = - 2 x + 8$

This equation is now in the slope intercept form.

The slope-intercept form of a linear equation is:

$y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and color(blue)(b# is the y-intercept value.

Looking at our equation:

$y = \textcolor{red}{- 2} x + \textcolor{b l u e}{8}$

Therefore:

$\textcolor{red}{m = - 2}$ so the slope is $\textcolor{red}{- 2}$

$\textcolor{b l u e}{b = 8}$ so the y-intercept is $\textcolor{b l u e}{8}$ or ($\textcolor{b l u e}{0}$,$\textcolor{b l u e}{8}$)