Question

Which equation shows y=3/4x−5/2 in standard form?



A.−3x+4y=10

B.−4x+3y=−10

C.−3x+4y=−10

D.−4x+3y=10

Answer 1

-3x + 4y = -10

so the correct answer is C.

Answer 2

we know that

The standard form of the line equation is equal to

$Ax + By = C$

in this problem we have

$y=\frac{3}{4} x-\frac{5}{2}$

Multiply by $4$ both sides

$4y=4*\frac{3}{4} x-4*\frac{5}{2}$

$4y=3x-10$

$4y-3x=-10$

$-3x+4y=-10$

therefore

the answer is the option C

$-3x+4y=-10$