Question

1. convert the equation $y - 3x = 6$ into standard form.

a. $x - 3y = -6$

b. $3x - y = -6$

c. $3x + y = 6$

d. $-3x + y = 6$

Explanation:

Step1: Recall standard form

Standard form is $Ax + By = C$ (A,B,C integers, A≥0).

Step2: Rearrange given equation

Start with $y - 3x = 6$. Add $3x$ to both sides: $y = 3x + 6$. Subtract $y$ and 6 from both sides: $3x - y = -6$. This matches option b.

Answer:

b. 3x - y = -6