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)
• y = -0.75x; 1.50
• y= -1.33x, 2.67
O y = 1.33x; -2.67
• y = 0.13x; -0.25
Given that y varies directly with x, the direct variation equation can be represented as y = kx, where k is the constant of variation.
To find the value of k, we can use the information that when x = -6, y = 8.
So, 8 = k(-6)
Solving for k, we get k = -8/-6 = 4/3 or 1.33
Therefore, the direct variation equation relating x and y is y = 1.33x.
Now, to find the value of y when x = -2:
y = 1.33(-2) = -2.66 or approximately -2.67
Therefore, the correct answers are:
• y = 1.33x; -2.67