Question

If y directly varies with x and y=-6 when x=-3 find y when x=1

Answer 1

If y directly varies with x, then the relationship can be represented by the equation y = kx, where k is the constant of variation.

Given that y = -6 when x = -3, we can substitute these values into the equation to find k:

-6 = k * -3

Simplifying, we get:

k = 2

Now that we have the value of k, we can substitute it back into the equation to find y when x = 1:

y = kx
y = 2 * 1
y = 2

Therefore, when x = 1, y = 2.