Answer:
[tex]y=\frac{3}{8}x[/tex]
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Remember that
The unit rate of change is the same as the slope
so
In this problem
[tex]m=\frac{3}{8}[/tex]
The linear equation is equal to
[tex]y=\frac{3}{8}x[/tex]
To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8
[tex]y=\frac{3}{8}(8)=3[/tex]
The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
