Question

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite d

The number b varies directly with the number a. For example b = 2 when a = -2-
-2. Which equation represent direct variation between a and b?
a) b=a
b) -b = -a
c) b-a = 0
d) b(-a) = 1

Answer 1

The equation that represents direct variation between a and b is b = a. In direct variation, when a increases, b also increases, and when a decreases, b also decreases.

Step-by-step explanation:

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

In direct variation, when a increases, b also increases, and when a decreases, b also decreases, but they are always in a constant ratio. This can be represented by the equation b = ka, where k is the constant of variation. In this case, since b is located the same distance from 0 as a, but in the opposite direction, the constant of variation is 1, so the equation becomes b = a.