Question

The points (-2, 6) and (3, y) are data values of an inverse variation. What is the value of y?

Answer 1

For two variables to be in inverse variation, the product of the variables must be a constant. In this case, the product of the x- and y-coordinates of the two points is -2 * 6 = -12. Therefore, the product of the x- and y-coordinates of the point (3, y) must also be -12. This means that 3y = -12, or y = -4.

Therefore, the value of y is -4.