Question

The table shows a proportional relationship between x and y.

x 3.4 5.6 1.7
y 13.6 22.4 6.8


Which of the following correctly describes the graph of the relationship?
A line that goes through (0, 0) and (13.6, 3.4)
A line that goes through (0, 0) and (3.4, 13.6)
A line that goes through (3.4, 13.6) and (22.4, 5.6)
A line that goes through (13.6, 3.4) and (5.6, 22.4)

Answer 1

(b) A line that goes through (0, 0) and (3.4, 13.6)

Explanation:

You want a description of the line that describes the same proportional relationship as the points given in the table:

(x, y) = (3.4, 13.6), (5.6, 22.4), (1.7, 6.8)

Proportional relation

The graph of the relation will be a straight line through points with (x, y) values from the table. A graph of a proportional relation also goes through the point (0, 0).

Of the points listed in the answer choices, only (3.4, 13.6) and (5.6, 22.4) are ones that are given in the table. This eliminates all of the answer choices except the correct one:

A line that goes through (0, 0) and (3.4, 13.6).