Question

What is the constant of proportionality in the direct variation represented on the following graph?

-
`(1)/(4)`



`(1)/(4)`


-4


4

Answer 1

1/4 the second one i think it could be that

Answer 2

The constant of proportionality in the direct variation represented on the graph is -1/4.

The graph shows a straight line that passes through the origin and the point (-4, 1). The slope of this line is -1/4, which is also the constant of proportionality.

Here's how to find the slope:

Pick two points on the line. In this case, you can use the origin (0, 0) and the point (-4, 1).

Change in y / Change in x = Slope

(1 - 0) / (-4 - 0) = -1/4

Therefore, the constant of proportionality is -1/4. So the answer is a).