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Sladkaya [172]
3 years ago
7

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?
Mathematics
2 answers:
Basile [38]3 years ago
7 0
The equation would be b = -a or a = -b

I hope this helps :)
Lady bird [3.3K]3 years ago
6 0

Answer:

b = -a

Step-by-step explanation:

Direct variation says that:

y \propto x then,

equation is in the form of:

y =kx where, k is the constant of variation.

As per the statement:

A number b varies directly with the number a.

by definition we have;

b = ka

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

2 = -2a

Divide both sides by -2 we have;

-1 = k

or

k = -1

Then, equation we get; b = -a

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

b = -a

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