This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box.

Answer:[tex]k=\frac{3}{2}[/tex]Step-by-step explanation:we know thatA 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 originIn this problem we have the point (1/4,3/8)The constant of proportionality k is equal to[tex]k=\frac{y}{x}[/tex]substitute the value of y and the value of x of the given ordered pair[tex]k=\frac{3}{8}:\frac{1}{4}[/tex]Multiply in cross[tex]k=\frac{3*4}{8*1}=\frac{12}{8}[/tex]Simplify[tex]k=\frac{3}{2}[/tex]