Answer:
[tex]k=-\frac{3}{5}[/tex]
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 [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
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
[tex]k=\frac{y}{x}[/tex]
substitute
[tex]k=\frac{18}{-30}[/tex]
Simplify
Divide by 6 both numerator and denominator
[tex]k=-\frac{3}{5}[/tex]
