###### Definition4.6.4Point-Slope Form

When $$x$$ and $$y$$ have a linear relationship where $$m$$ is the slope and $$(x_0,y_0)$$ is some specific point that the line passes through, one equation for this relationship is

$$y=m\left(x-x_0\right)+y_0\tag{4.6.1}$$

and this equation is called the point-slope form of the line. It is called this because the slope and one point on the line are immediately discernable from the numbers in the equation.

in-context