Answer
C
Work Step by Step
We want to rewrite the given equation, which is in slope-intercept form, in standard form, which is given by the formula:
$Ax + By = C$
First, we add the $x$ term to each side of the equation to isolate the constant on the right of the equation:
$\frac{3}{4}x + y = 2$
The equation is now in standard form; however, we are asked to use integers. We have one fraction in this equation. To get rid of this fraction, we multiply all terms by the denominator of the fraction:
$4(\frac{3}{4})x + 4y = 4(2)$
Multiply out all terms to simplify:
$\frac{12}{4}x + 4y = 8$
Simplify the fraction:
$3x + 4y = 8$
This answer corresponds to option $C$.
