Question

Which relation is a direct variation that contains the ordered pair (2, 7)?

y= 4x -1
ovat
y = 2 x
y = 1/2 x
NIN XS

Answer 1

`y=(7)/(2)x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a direct relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

step 1

Find the value of the constant of proportionality k

we have

the ordered pair (2, 7)

so

`k=(y)/(x)` ----->
`k=(7)/(2)`

therefore

The relation is

`y=kx` ----->
`y=(7)/(2)x`