Question

Which equation shows y=34x−52 in standard form? 4x−3y=−10 3x−4y=−10 3x−4y=10 4x−3y=10
WILL MARK BRAINLYEST

Answer 1

Answer:

Given an equation: $y=\frac{3}{4}x- \frac{5}{2}$       ......[1]

Standard form of equation is in the form of equation:

$Ax+By=C$ ;  where A,B and C are constant coefficient.

we have to rewrite the equation [1];

$y=\frac{3}{4}x- \frac{5}{2}$  

Subtract $\frac{3x}{4}$ from both sides of an equation:

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

Simplify:

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

Now, multiply both sides by common denominator of -4 we get;

$-4(y+\frac{3}{4}x)=-4\cdot\frac{-5}{2}$ or

$-4y+3x=10$ or 3x-4y=10

therefore, the equation 3x-4y=10 shows $y=\frac{3}{4}x- \frac{5}{2}$ in standard form.