Question

The graph of a proportional relationship contains the point (-30, 18)

What is the value of k for the relationship?
Enter your answer in the box as a fraction in simplest form
k=​

Answer 1

`k=-(3)/(5)`

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

we have the point (-30,18)

so

x=-30, y=18

Find the value of k

`k=(y)/(x)`

substitute

`k=(18)/(-30)`

Simplify

Divide by 6 both numerator and denominator

`k=-(3)/(5)`