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?

(1 point)
Responses

y = –0.75x; 1.50
y = –0.75 x ; 1.50

y = –1.33x; 2.67
y = –1.33 x ; 2.67

y = 1.33x; –2.67
y = 1.33 x ; –2.67

y = 0.13x; –0.25
y = 0.13 x ; –0.25

The correct direct variation equation is y = –1.33x.

When x = -2, we can plug in x into the equation to find y:
y = -1.33(-2)
y = 2.67

So, the value of y when x = -2 is 2.67.

Therefore, the correct answer is:
y = –1.33x; 2.67