Suppose y varies directly with x and y = 14 when x = -4. What is the value of y when x = -6
If y varies directly with x, we can express this relationship as y = kx, where k is the constant of variation.
To find the value of k, we can plug in the given values into the equation: y = kx.
When y = 14 and x = -4, we have 14 = k*(-4).
Solving for k, we find k = -14/4 = -7/2.
Now we can use the value of k to find the value of y when x = -6.
y = kx
y = (-7/2)*(-6)
y = 21
Therefore, when x = -6, y = 21.