# What is the gradient and y axis intercept of y = 5x + 6?

Sep 14, 2017

See a solution process below:

#### Explanation:

The equation in the problem is 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.

$y = \textcolor{red}{5} x + \textcolor{b l u e}{6}$

Therefore the slope is: $\textcolor{red}{m = 5}$

Sep 14, 2017

$m = 5$

#### Explanation:

The equation the line is written in the form $y = m x + b$ where $m$ is the slope. With that being said the slope of the line in these equation is $5$.

Another way to think about it is that the slope is the leading coefficient in the equation or it is the number in front of the variable $x$.

Sep 14, 2017

5

#### Explanation:

When the equation of a line is in the form:

$y = m x + c$

$m$ is the gradient (slope).

$c$ is the $y$ axis intercept.

so in the example $m = 5$ and $c = 6$