Equation of Straight Line in Plane/Slope-Intercept Form/Proof 2

Proof
By definition, the $y$-intercept of $\LL$ is $\tuple {0, c}$.

We calculate the $x$-intercept $X = \tuple {x_0, 0}$ of $\LL$:

Hence from the two-intercept form of the Equation of straight line in the plane, $\LL$ can be described as: