Question

which equation represents the relationship between x and y in this graph?
y = 4x
$y = \frac{1}{2}x$
y = 2x
x = 2y
(graph with points (1,2), (2,4), (3,6), (4,8), (5,10))

Explanation:

Step1: Test point (1,2) in options

For $y=4x$: $2
eq 4(1)$; For $y=\frac{1}{2}x$: $2
eq \frac{1}{2}(1)$; For $y=2x$: $2=2(1)$; For $x=2y$: $1
eq 2(2)$

Step2: Verify with another point (2,4)

For $y=2x$: $4=2(2)$, which holds true.

Answer:

$y=2x$