Answer :

Answer:

See explanation

Step-by-step explanation:

The constant of variation is found using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

The given relation is

X : -2 , -3, -4, -5  

Y : -5, -7.5,-10,-12.5

We can use any two ordered pair to find the constant of variation.

Using (-2,-5) and (-3,-7.5), we have

[tex]m=\frac{-7.5--5}{-3--2} =\frac{-2.5}{-1} =2.5[/tex]

The constant of variation is 2.5

We need to repeat this for all the options to identify the one with -2.5 as slope.

unfortunately, you did not provide the remaining options.

Answer:

A

x

–2

–3

–4

–5

y

–5

–7.5

–10

–12.5

B

5 x + 2 y = 0

C

y = negative 2.5 x + 1

D

On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).

Step-by-step explanation:

ANSWER IS A OR B

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