Question

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. Which equation represents this direct variation between a and b?

A. -b = a
B. -b - a = 0
C. -b(-a) = 0
D. N/A

Answer 1

The equation that represents the direct variation between a and b is -b = a.

The answer is option ⇒A

Step-by-step explanation:

In this scenario, a and b are located the same distance from 0 on a number line but in opposite directions. Since b varies directly with a, this means that as a increases, b also increases, and as a decreases, b also decreases.

The equation -b = a represents this direct variation because it shows that a and b are equal in magnitude but have opposite signs. If we multiply both sides by -1, we get b = -a, which further emphasizes the opposite relationship between a and b.

The answer is option ⇒A