# What is Slope-Intercept Form?

Apr 5, 2018

$y = m x + b$

Where:
$m$ is the slope of the line.
$b$ is the y-intercept of the line.

#### Explanation:

Consider $y = x$

graph{y=x [-10, 10, -5, 5]}

In this equation, the coefficient to $x$ is 1 and our y-intercept is 0.

We could think of that equation as looking like:

$y = 1 x + 0$

Notice that the graphed line has a "rise-over-run" of $\frac{1}{1}$ which is just 1 and the line passing through the y-axis at $y = 0$