To determine whether y varies directly with x, we can use the formula for direct variation: y = kx, where k is the constant of variation.
First, we can check if y varies directly with x by examining the given values:
When x = -2, y = 3
When x = 1, y = 4
When x = 2, y = 7
To check for direct variation, we'll compare the ratios of y to x:
For x = -2: y / x = 3 / (-2) = -1.5
For x = 1: y / x = 4 / 1 = 4
For x = 2: y / x = 7 / 2 = 3.5
Since the ratios are not all equal, y does not vary directly with x.
Therefore, there's no direct variation between x and y in this given data.
