# How do you write the slope-intercept form of the line with a slope of 1/3 and going through the points (3, 7) and (0, 6)?

Jan 18, 2017

$y = \textcolor{red}{\frac{1}{3}} x + \textcolor{b l u e}{6}$

#### Explanation:

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.

In this problem the slope is given as $\textcolor{red}{m = \frac{1}{3}}$

Also, because the second point has the $x$ value of $0$ the y value is therefore the $y$ intercept or $\textcolor{b l u e}{b = 6}$

Substituting these into the formula gives:

$y = \textcolor{red}{\frac{1}{3}} x + \textcolor{b l u e}{6}$