# How do you find the slope and intercept of y=(5-x)/10?

Mar 10, 2018

See a solution process below

#### Explanation:

Rewrite the equation in 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 $\textcolor{b l u e}{b}$ is the y-intercept value.

$y = \frac{5 - x}{10}$

$y = \frac{5}{10} - \frac{x}{10}$

$y = \frac{1}{2} - \frac{1}{10} x$

$y = \textcolor{red}{- \frac{1}{10}} x + \textcolor{b l u e}{\frac{1}{2}}$

Therefore:

• The Slope Is : $\textcolor{red}{m = - \frac{1}{10}}$

• The $y$-intercept Is : $\textcolor{b l u e}{b = \frac{1}{2}}$ or $\left(0 , \textcolor{b l u e}{\frac{1}{2}}\right)$

Mar 10, 2018

Slope
$m = - 0.1$
Intercept
$c = 0.5$

#### Explanation:

Given:
$y = \frac{5 - x}{10}$
Simplifying
$y = \frac{5}{10} - \frac{x}{10}$
$y = 0.5 - 0.1 x$
Arranging in the form
$y = m x + c$
$y = - 0.1 x + 0.5$
Slope
$m = - 0.1$
Intercept
$c = 0.5$