Which of the following equations represents the graph shown?

Answer: Last option.Step-by-step explanation: The equation of the line in slope-intercept form is: [tex]y=mx+b[/tex] Where m is the slope and b the intersection with the y-axis. You can observe in the graph that the line passes through the origin, then: [tex]b=0[/tex] Choose two points of the line and calculate the slope with: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] Points: (2,3) and (-2,-3) Substitute values, then the slope is: [tex]m=\frac{-3-3}{-2-2}=\frac{-6}{-4}=\frac{3}{2}[/tex]  Substituting "m" and "b" into  [tex]y=mx+b[/tex], you get that the equation is: [tex]y=\frac{3}{2}x[/tex] This can be written as: [tex]f(x)=\frac{3}{2}x[/tex]