41. Which of the following describes the graphrepresenting a direct variation?A. Always a straight lineB. Never crosses the y-axisC. Always a horizontal lineD. Never intersects the origin

Accepted Solution

Answer: Always a straight lineStep-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 msee the graph in the attachmenttherefore option A is correct.option B. is wrong because it will cross y axis at the originoption 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.