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 when a = –2. which equation represents this direct variation between a and b?

Step-by-step explanation:

Direct variation says that:

then,

equation is in the form of:

where, k is the constant of variation.

As per the statement:

A number b varies directly with the number a.

by definition we have;

Substitute b = 2 and a = -2 we have;

Divide both sides by -2 we have;

-1 = k

or

k = -1

Then, equation we get;

Therefore, equation represents this direct variation between a and b is:

step-by-step explanation: