# How do you write an equation of a line with slope 5/2 and y-intercept 0?

Jun 23, 2018

See a solution process below:

#### Explanation:

We can use the slope-intercept formula to write an equation for this line. 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.

Substituting:

$\textcolor{red}{\frac{5}{2}}$ for $\textcolor{red}{m}$

And

$\textcolor{b l u e}{0}$ for $\textcolor{b l u e}{b}$

Gives:

$y = \textcolor{red}{\frac{5}{2}} x + \textcolor{b l u e}{0}$

Or

$y = \textcolor{red}{\frac{5}{2}} x$

Jun 23, 2018

$y = \frac{5}{2} x$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here "m=5/2" and } b = 0$

$y = \frac{5}{2} x \leftarrow \textcolor{red}{\text{is the equation of the line}}$