The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. x=-4, y=6

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that x varies directly with y, if we introduce a constant of proportionality, k, the expression becomes

x = ky

If x = - 4 when y = 6, then

- 4 = 6k

k = - 4/6 = - 2/3

Therefore, the equation that relates x and y is

x = - 2y/3