Question

Which linear function shows a direct variation?

Graph A shows on the first picture
Graph B shows on the second picture
Graph C shows on the third picture
Graph D shows on the last picture

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer 1

Its D

Explanation:

Did on edge

Answer 2

D. Graph D

Explanation:

We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.

That is, if one variable changes, the other variable also changes in proportion to the first variable.

The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.

Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.

Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.

Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.

Hence, the linear function in Graph D shows a direct proportion.