\[\begin{aligned} m &=\frac{y-y_{1}}{x-x_{1}} \\ m\left(x-x_{1}\right) &=\left(\frac{y-y_{1}}{x-x_{1}}\right)\left(x-x_{1}\right) \quad \text{Multiply both sides of the equation by } x-x_1.\\ m\left(x...m=y−y1x−x1m(x−x1)=(y−y1x−x1)(x−x1)Multiply both sides of the equation by x−x1.m(x−x1)=y−y1Simplify.y−y1=m(x−x1)Rewrite the equation with the y terms on the left.