# What is the equation of the line that has a slope of m=2/3 and goes through (0,5)?

Jan 28, 2017

$y = \textcolor{red}{\frac{2}{3}} x + \textcolor{b l u e}{5}$

#### Explanation:

In this problem we have been given:

The slope of 2/3

And because the $x$ value of the point given is $0$ we know the $y$ value is the y-intercept of $5$

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 the values from the problem gives:

$y = \textcolor{red}{\frac{2}{3}} x + \textcolor{b l u e}{5}$