# Slope Intercept Form

Straight lines can be expressed in two types of equation – one is called the general form and the other form is called the slope intercept form. The general form is $ax + by + c$ = $0$ such that when $a$ = $0$, the line is horizontal and when $b$ = $0$, then the line is vertical. Slope intercept form is $y$ = $mx + c$, where ‘$m$’ denotes the slope or gradient of the line and ‘$c$’ denotes the $y$-intercept, $x$ is the distance covered left and right to the $y$ axis and ‘$y$’ denotes the distance covered up and down the $x$ axis. Slope or gradient is defined as the ratio of change in $y$ over change in $x$.