Question

1. convert the slope-intercept form $y = -3x + 7$ to standard form.

a. $3x + y = 7$

b. $3x - y = -7$

c. $-3x + y = 7$

d. $-3x + y = -7$

Explanation:

Step1: Recall standard form

Standard form is $Ax + By = C$, where $A\geq0$, $A,B,C$ are integers.

Step2: Rearrange given equation

Start with $y = -3x + 7$. Add $3x$ to both sides:
$3x + y = 3x - 3x + 7$

Step3: Simplify the equation

$3x + y = 7$

Answer:

a. $3x + y = 7$