###### Definition4.5.4Slope-Intercept Form

When $$x$$ and $$y$$ have a linear relationship where $$m$$ is the slope and $$(0,b)$$ is the $$y$$-intercept, one equation for this relationship is

$$y=mx+b\tag{4.5.1}$$

and this equation is called the slope-intercept form of the line. It is called this because the slope and $$y$$-intercept are immediately discernible from the numbers in the equation.

in-context