Suppose y varies directly with x, and y = 8 when x = –6. what direct variation equation relates x and y? what is the value of y when x = –2?

Direct variation states that the relationship between two variables in which one is a constant multiple of the other one.

In other words, when one variable changes the other one changes in proportion to the first.

i.e, if y is directly proportional to x then, the equal will be of the form is, y= kx where k is the constant of variation.

Given: y varies directly with x, and y = 8 when x = –6

By definition of direct variation,

y = kx

Substitute the  values of x = -6 and y=8 to solve for k;

8 = -6k

Divide both sides by -6 we get;

Now, to find the value of y when x = 2 we have;

Substitute the given value of x =-2 we have;

Therefore, the direct variation related x and y is,

and the value of when x = -2

answer: x= -2y

step-by-step explanation:

this doesn't make sense lol