What is the equation of this line?
A) y= -3/2x
B) y= -2/3x
C) y= 3/2x
D) y= 2/3x
Answer:
Option D. [tex]y=\frac{2}{3}x[/tex]
Step-by-step 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
[tex]y=kx[/tex]
where
k is the constant of proportionality or slope
from the graph take the point (3,2)
Find the value of k
[tex]k=\frac{y}{x}[/tex]
substitute the value of x and the value of y
[tex]k=\frac{2}{3}[/tex]
substitute
[tex]y=\frac{2}{3}x[/tex]