Suppose you 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 write the equation as y = kx, where k is the constant of variation.
Given that y = 14 when x = -4, we can substitute these values into the equation to solve for k:
14 = k(-4)
Dividing both sides by -4:
k = -14/4
k = -7/2
Now we have the equation y = (-7/2)x.
To find the value of y when x = -6, we substitute x = -6 into the equation:
y = (-7/2)(-6)
y = 21
Therefore, when x = -6, y has a value of 21.