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

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 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.