Answer
$3x - 4y = -20$
Work Step by Step
To rewrite an equation in standard form, we use the following formula:
$Ax + By = C$
For the equation $y = \frac{3}{4}x + 5$, we subtract $\frac{3}{4}x$ from both sides of the equation to isolate constants on one side of the equation:
$-\frac{3}{4}x + y = 5$
Multiply all terms by $-1$ so that the $x$ term is not negative:
$\frac{3}{4}x - y = -5$
To make all values integers, we multiply everything by the denominator of the fraction, which will make the fraction an integer:
$4(\frac{3}{4}x - y) = 4(-5)$
Distribute terms first, according to order of operations:
$\frac{12}{4}x - 4y = -20$
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is $4$:
$3x - 4y = -20$
