Question

Which equation shows y=34x−52 in standard form?

a. 4x−3y=10
b. 3x−4y=10
c. 4x−3y=−10
d. 3x−4y=−10

Answer 1

The standard form: Ax + By = C.

`y=(3)/(4)x-(5)/(2)\qquad\text{multiply both sides by 4}\\\\4y=\\ot4^1\cdot(3)/(\\ot4_1)x-\\ot4^2\cdot(5)/(\\ot2_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.}`