The slope-intercept form of the linear equation in two variables is represented in the form of :

A linear equation is an equation between two variables that gives a straight line when plotted on a graph.

A linear equation in two variable is represented in the standard form $ax+by+c=0$. 

There are three forms of linear equation in two variables:

Standard form $ax+by+c=0$

Slope intercept form, $y=m x+b$

Where, m = slope

y = intercept

Point slope form, $y-y_1=m\left(x-x_1\right)$

Where, m = slope

$\left(x_1,y_1\right)$ is the point on the line.