Constant of proportionality from graphs

Google Classroom

Problem

The graph below shows a proportional relationship between $x$x and $y$y.

What is the constant of proportionality, $\dfrac{y}{x}$start fraction, y, divided by, x, end fraction ?

$\small{0.5}$$\small{1}$$\small{1.5}$$\small{2}$$\small{2.5}$$\small{3}$$\small{3.5}$$\small{4}$$\small{4.5}$$\small{0.5}$$\small{1}$$\small{1.5}$$\small{2}$$\small{2.5}$$\small{3}$$\small{3.5}$$\small{4}$$\small{4.5}$$y$$x$

Hint #11 / 3

We can find the constant of proportionality by finding the value of $y$y when $x=1$x, equals, 1.

Hint #22 / 3

$y=0.5$y, equals, 0, point, 5 when $x=1$x, equals, 1

Hint #33 / 3

The constant of proportionality, $\dfrac{y}{x}$start fraction, y, divided by, x, end fraction, is $\dfrac{0.5}{1}$start fraction, 0, point, 5, divided by, 1, end fraction or just $0.5$0, point, 5.