Question

The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .

Graph of Direct Variation

What is the unit rate of this graph? Be sure to simplify your answer.

Group of answer choices

9


6

2/3

3/2

Answer 1

The slope of the graphed line is
`m = (3)/(2)`.

Explanation:

See the attached graph.

The points (0,0) and (6,9) through which the graph passes.

As the graph passes through the origin (0,0), it is of direct variation.

Now, the direct variation equation is given by, y = mx, where, m is the slope of the line.

Now, the point (6,9) will satisfy the above equation and then, 9 = 6m

⇒
`m = (9)/(6) = (3)/(2)`

Therefore, the slope of the graphed line is
`m = (3)/(2)`. (Answer)