Question

Question: Does the graph represent a proportional relationship? Explain. What is the constant of proportionality? What is the equation for the graph?

(The graph is in the picture)

Answer 1

yes, 10

Explanation:

For a graph to represent a proportional relationship, you need 2 things:

1) The graph is a straight line that passes through the origin.

2) The line is not vertical or horizontal.

Here you have a line that is not vertical or horizontal; and passes through the origin (the point (0, 0) ). Therefore, this line represents a proportional relationship.

To find the constant of proportionality, look for any point except the origin, and divide its y-coordinate by its x-coordinate. The constant of proportionality is also the slope of the line.

For example, pick (1, 10).

constant of proportionality = 10/1 = 10

Answer: yes, 10