Question

Which of the following statements describes the relationship between the y-coordinate and x-coordinate on the given graph?

• A. The y-coordinate is equal to the x-coordinate for all points.
• B. ​​​​​The y-coordinate is double the x-coordinate for all points.
• C. The y-coordinate is half of the x-coordinate for all points.
• D. The y-coordinate is thrice the x-coordinate for all points.

Answer 1

The correct option is C The y-coordinate is half of the x-coordinate for all points.

Let’s have a look at the graph when $x=2,4,6,8$

x-coordinate	2	4	6	8
y-coordinate	1	2	3	4
y can be rewritten as $y=x÷2$	$1=2÷2$	$2=4÷2$	$3=6÷2$	$4=8÷2$

Observing the table, we can see that
$y=x÷2$, which can be described using the statement given in option d.

Thus, the y-coordinate is half of the x-coordinate for all points.