Answer:
[tex]y=6x[/tex]
Step-by-step explanation:
we have the ordered pairs
(0,0) and (-1/2,-3)
In this problem we have a proportional relationship, because the line passes through the origin
A proportional variation can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Find the value of the constant of proportionality k
For x=-1/2, y=-3
[tex]k=\frac{y}{x}[/tex] ----> [tex]k=\frac{-3}{(-1/2)}=6[/tex]
therefore
The linear equation is equal to
[tex]y=kx[/tex]
substitute the value of k
[tex]y=6x[/tex]
