Question

The table shows a proportional relationship between x and y.

x 3.6 12.2 2.1
y 7.2 24.4 4.2


Which of the following correctly describes the graph of the relationship?
A line that goes through (3.6, 7.2) and (24.4, 12.2)
A line that goes through (7.2, 3.6) and (12.2, 24.4)
A line that goes through (0, 0) and (3.6, 7.2)
A line that goes through (0, 0) and (7.2, 3.6)

Answer 1

(c) A line that goes through (0, 0) and (3.6, 7.2)

Explanation:

Answer 2

(c) A line that goes through (0, 0) and (3.6, 7.2)

Explanation:

You want to find the correct descriptor of the proportional relationship that includes points (x, y) = (2.1, 4.2), (3.6, 7.2), (12.2, 24.4).

Graph

The graph of the points in the table will go through points with coordinates that have the x-value of the table listed first. Points (24.4, 12.2), (7.2, 3.6) are not on the graph. (The table y-value is listed first for those ordered pairs.)

A proportional relationship graphs as a straight line through the origin, so this graph can be described as ...

A line that goes through (0, 0) and (3.6, 7.2)