Question

tell whether y varies directly with x. If it does, write an equation for the direct variation
x y
-1 -6
2 3
5 12
9 24

Answer 1

To determine if y varies directly with x, we need to check whether the ratio of y to x is constant for all pairs of values.

For the given values:
(-1, -6): -6/-1 = 6
(2, 3): 3/2 = 1.5
(5, 12): 12/5 = 2.4
(9, 24): 24/9 = 2.67

Since the ratios are not constant, y does not vary directly with x. Therefore, there is no equation for the direct variation.