# How do you write the equation of a line which passes through (0, 5) and has a slope of 52/3?

Feb 3, 2017

$y = \textcolor{red}{\frac{52}{3}} x + \textcolor{b l u e}{5}$

#### Explanation:

Because the line passes through (0, 5) this is the y-intercept. And because we also know the slope we can use the slope-intercept formula to directly write the 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 the values from the problem gives:

$y = \textcolor{red}{\frac{52}{3}} x + \textcolor{b l u e}{5}$