Question

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

Answer 1

Always a straight line

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.