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. For example b = 2 3/4 when a = –2 3/4 Which equation represents this direct variation between a and b?​

Answer 1

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

Explanation:

we know that

A number, b, is located the same distance from 0 as another number, a, but in the opposite direction

so

the sum of number a and number b is equal to zero

so

`a+b=0\\a=-b`