# What does y = mx + b mean?

Oct 7, 2014

This is a linear equation. A linear equation is the representation of straight line.

This particular equation is called slope intercept form.

The $m$ in the formula is the slope.

The $b$ in the formula is where the line intersects the $y$-axis is this called the $y$-intercept.

Nov 26, 2016

A linear equation in two variables, $x$ & $y$. Graphically it represents, a straight line with slope $m$ and $y$ - intercept as $b$.

#### Explanation:

A linear equation (an equation with highest power on variable as 1 ), graphically represents a straight line on 2-D plane (graph).

The given equation is written in slope - intercept form.

In $y = m x + b$ :

$m$ = slope or gradient of the given line ie representing the value of $\tan \theta$, where $\theta$ is the angle made by line with $x$ axis anticlockwise (Note : $m$ gives value of $\tan \theta$ and not $\theta$ ).

$b$ = $y$ - intercept ie the point where the given line cuts the $y$ axis.