Question

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

Answer 1

Answer:

$y=\frac{7}{2}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $k=\frac{y}{x}$ 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

$k=\frac{y}{x}$  -----> $k=\frac{7}{2}$

therefore

The relation is

$y=kx$  ----->  $y=\frac{7}{2}x$