Question

1. convert $y = 4x - 7$ into standard form.

a. $4x - y = -7$
b. $-4x + y = -7$
c. $4x - y = 7$
d. $-4x + y = 7$

Explanation:

Step1: Recall standard form definition

Linear standard form: $Ax + By = C$, where $A,B,C$ are integers, $A\geq0$.

Step2: Rearrange given equation

Start with $y = 4x - 7$. Subtract $4x$ from both sides:
$-4x + y = -7$

Step3: Make $A$ non-negative

Multiply all terms by $-1$:
$4x - y = 7$

Answer:

c. $4x - y = 7$