Question

Which representation has a constant of variation of -2.5

X : -2 , -3, -4, -5
Y : -5, -7.5,-10,-12.5

Answer 1

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).

Explanation:

ANSWER IS A OR B

Answer 2

See explanation

Explanation:

The constant of variation is found using the slope formula:

`(y_2-y_1)/(x_2-x_1)`

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

`m=(-7.5--5)/(-3--2) =(-2.5)/(-1) =2.5`

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.