# How do you find the slope and intercept of -5+y=1/4x?

Jun 27, 2018

See a solution process below:

#### Explanation:

First, put this equation 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 $\textcolor{b l u e}{b}$ is the y-intercept value.

$- 5 + y = \frac{1}{4} x$

$- 5 + \textcolor{b l u e}{5} + y = \frac{1}{4} x + \textcolor{b l u e}{5}$

$0 + y = \frac{1}{4} x + \textcolor{b l u e}{5}$

$y = \textcolor{red}{\frac{1}{4}} x + \textcolor{b l u e}{5}$

Therefore,

• The slope is: $\textcolor{red}{m = \frac{1}{4}}$
• The $y$-intercept is: $\textcolor{b l u e}{b = 5}$ or $\left(0 , \textcolor{b l u e}{5}\right)$
Jun 27, 2018

$\text{slope "=1/4," y-intercept } = 5$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{rearrange "-5+y=1/4x" into this form}$

$\text{add 5 to both sides}$

$y = \frac{1}{4} x + 5 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=1/4" and y-intercept } = 5$