[tex]\text{The standard form of a line:}\ Ax+By=C[/tex]
[tex]\text{The point-slope form:}[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\text{We have the point (5, 0) and the slope}\ m=\dfrac{4}{3}[/tex]
[tex]\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}[/tex]
