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?

A. y = - 0.75x; 1.50

B. y = - 1.33x; 2.67

C. y = 1.33x; - 2.67

D. y = 0.13x; - 0.25

Given:

y varies directly with x

y = 8 when x = - 6

what is the value of y when x = - 2?

y = kx

we need to get the constant of variation.

8 = k (-6)

8/-6 = k

4/-3 = k or - 1 1/3

y = - 4/3 (-2)

y = (-4*-2) / 3

y = 8 / 3

y = 2 2/3 OR 2.67

The correct answer is Choice B. y = - 1.33x; 2.67