# What is the slope and intercept of y-2/7=4x?

Mar 14, 2018

See a solution process below:

#### Explanation:

First, rewrite this equation as:

$y - \frac{2}{7} + \textcolor{red}{\frac{2}{7}} = 4 x + \textcolor{red}{\frac{2}{7}}$

$y - 0 = 4 x + \frac{2}{7}$

$y = 4 x + \frac{2}{7}$

This equation is now in 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.

$y = \textcolor{red}{4} x + \textcolor{b l u e}{\frac{2}{7}}$

Therefore:

• The slope is: $\textcolor{red}{m = 4}$

• The $y$-intercept is: $\textcolor{b l u e}{b = \frac{2}{7}}$ or $\left(0 , \textcolor{b l u e}{\frac{2}{7}}\right)$