Question

This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box. A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 2 over 5 end fraction comma 1 over 2 end fraction right parenthesis. PLZ HELP :(

Answer 1

5/4

Explanation:

Answer 2

`k=(5)/(4)`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have that

The line pass through the points

`(0,0)\ and\ ((2)/(5),(1)/(2))`

Find the value of the constant of proportionality k

For x=2/5, y=1/2

substitute

`k=(y)/(x)`

`k=(1)/(2):(2)/(5)=(5)/(4)`