Answer:
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]y/x=k[/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
In this problem the given line represent a proportional relationship, because passes through the origin
we have
[tex]k=\frac{4}{3}[/tex] ---> the constant of proportionality k is equal to the slope
substitute
The linear equation is
[tex]y=\frac{4}{3}x[/tex]
To draw a line we need two points
we have (0,0)
To find the other point
assume x=3 and substitute in the equation to solve for y
[tex]y=\frac{4}{3}(3)=4[/tex]
so
The other point is (3,4)
using a graphing tool
Plot the points (0,0) and (3,4)
To graph the line join the points
see the attached figure
