Suppose y varies directly with x, and y = 14 when x = -4. What is the vaule of y when x = -6?
If y varies directly with x, it means there is a constant of proportionality (k) such that y = kx.
We can find the value of k using the given information:
y = kx
14 = k(-4)
k = -14/-4
k = 3.5
Now that we have the value of k, we can find the value of y when x = -6:
y = kx
y = 3.5(-6)
y = -21