Answer:
A. -24
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In this problem we have
For x=-3, y=12
Find the value of the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the given values
[tex]k=\frac{12}{-3}=-4[/tex]
so
The linear equation is equal to
[tex]y=-4x[/tex]
what is the value of y when x=6?
substitute the value of x in the linear equation and solve for y
[tex]y=-4(6)=-24[/tex]
