The standard form: Ax + By = C.
[tex]y=\dfrac{3}{4}x-\dfrac{5}{2}\qquad\text{multiply both sides by 4}\\\\4y=\not4^1\cdot\dfrac{3}{\not4_1}x-\not4^2\cdot\dfrac{5}{\not2_1}\\\\4y=3x-10\qquad\text{subtract 3x from both sides}\\\\-3x+4y=-10\qquad\text{change the signs}\\\\\boxed{3x-4y=10}\to\boxed{b.}[/tex]
