(Will give Brainliest) Which graph represents a function with direct variation?

• Edufirst:

  Answer: the last picture.

  
  

  Justification:

  
  

  Direct variation means that the ratio of the variables is constant, i.e. y / x = k or, equivalently, y = kx.

  In other words, the variables y and x vary proportionally, such that in x grow, y grows in the same proportion and quotient y/x remains constant.
  

  That means that the graph of a function with direct variation has these features:

  1. It is a straight line: because the slope is the ratio y/x = k
  2. It passes through the origin (0,0): because y = kx = k (0) = 0.
  
  

  Since the only graph that is passing through the origin (0,0) is the last graph, it is the only graph that represents a function with a direct variation.

• hillh2:

  Answer:

  d

  Step-by-step explanation:

  got it right