Question

What is the equation of this line?

A) y= -3/2x
B) y= -2/3x
C) y= 3/2x
D) y= 2/3x

Answer 1

Option D.
`y=(2)/(3)x`

Explanation:

we know that

The graph show represent a direct variation, because the line pass through the origin

The linear equation is of the form

`y=kx`

where

k is the constant of proportionality or slope

from the graph take the point (3,2)

Find the value of k

`k=(y)/(x)`

substitute the value of x and the value of y

`k=(2)/(3)`

substitute

`y=(2)/(3)x`