41. Which of the following describes the graph
representing a direct variation?
A. Always a straight line
B. Never crosses the y-axis
C. Always a horizontal line
D. Never intersects the origin

Respuesta :

Answer:

Always a straight line

Step-by-step explanation:

  • direct variation means, y ∝ x i.e, y is directly proportional to x.
  • let the proportionality constant be m
  • then it will become y=mx

which is always a straight line passing through origin having slope m

see the graph in the attachment

  • therefore option A is correct.
  • option B. is wrong because it will cross y axis at the origin
  • option C. is wrong because, it cant be a  horizontal line always as it depends on the slope "m"
  • option D. is also wrong because, you can easily see from the graph that it will intersect origin always.
Ver imagen brown78