Which relation is a direct variation that contains the ordered pair (2, 7)?
y = 4x - 1, y = 7/x, y = 2/7 x, y = 7/2 x

Solution:

Given ordered pair is (2, 7)

We know that y = kx is valid for every direct relationship,

Determine k using the y and x, since k = y/x

k = 7/2

k = 3.5

Put the value for k in y = kx and you have y = 7/2 x.

Therefore, y = 7/2 x is a direct variation that contains the ordered pair (2, 7)

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

Summary:

y = 7/2 x is a direct variation that contains the ordered pair (2, 7).