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, it means there is a constant of proportionality (k) such that y = kx.
To find the value of y when x = -6, we need to find k first.
Given that y = 14 when x = -4, we can substitute these values into the equation to solve for k:
14 = k(-4)
14 = -4k
Divide both sides by -4:
-3.5 = k
Now, we can use this value of k to find y when x = -6:
y = kx
y = -3.5(-6)
y = 21
Therefore, when x = -6, y = 21.