suppose y varies directly with x and y=14 and x=-4 what is the value of y when x=-6

Answer 1

To find the value of y when x = -6, we can use the direct variation equation.

Since y varies directly with x, we can write the equation as follows:

y = kx

To find the value of k, we can substitute the given values of y and x into the equation:

14 = k(-4)

Solving for k, we divide both sides of the equation by -4:

k = -3.5

Now, we can use the value of k to find y when x = -6:

y = (-3.5)(-6)

y = 21

Therefore, when x = -6, the value of y is 21.