Question

write in standard form: $y = \frac{3}{4}x - 2$

Explanation:

Step1: Recall standard form definition

The standard form of a linear equation is $Ax + By = C$, where $A$, $B$, $C$ are integers, and $A \geq 0$.

Step2: Eliminate the fraction

Multiply all terms by 4 to clear the denominator:
$4y = 4\times\frac{3}{4}x - 4\times2$
Simplify to get: $4y = 3x - 8$

Step3: Rearrange to standard form

Subtract $3x$ from both sides:
$-3x + 4y = -8$
Multiply all terms by $-1$ to make $A$ positive:
$3x - 4y = 8$

Answer:

$3x - 4y = 8$