Which linear function shows a direct variation?Graph A shows on the first pictureGraph B shows on the second pictureGraph C shows on the third picture Graph D shows on the last pictureA. Graph AB. Graph BC. Graph CD. Graph D

Answer:D. Graph DStep-by-step explanation:We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.That is, if one variable changes, the other variable also changes in proportion to the first variable.The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively. Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.Hence, the linear function in Graph D shows a direct proportion.