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

Answer:

$k=\frac{5}{4}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ 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

$(0,0)\ and\ (\frac{2}{5},\frac{1}{2})$  

Find the value of the constant of proportionality k

For x=2/5, y=1/2  

substitute

$k=\frac{y}{x}$

$k=\frac{1}{2}:\frac{2}{5}=\frac{5}{4}$