Question

What is $y = -\frac{3}{10}x - 8$ written in standard form?

A) $3x + 10y = -80$
B) $3x + 10y = 8$
C) $10x + 3y = -80$
D) $10x + 3y = 8$

Answer 1

To convert the equation y = -3/10x - 8 into standard form, multiply both sides by 10 and rearrange the terms to get 3x + 10y = -80, which is option A.

Step-by-step explanation:

The given equation is y = -\frac{3}{10}x - 8. To write it in standard form, we need to eliminate the fractions and have both variables and the constant on one side. Here is the step-by-step process:

1. Multiply both sides of the equation by 10 to eliminate the fraction:
   10y = -3x - 80.
2. Now, rearrange the equation to get the x and y terms on the left side and the constant term on the right side:
   3x + 10y = -80.

The correct standard form of the given equation is 3x + 10y = -80, which corresponds to option A.