Question

the value of y varies directly with x. when the value of x is 4, the value of y is -12. what is the constant of variation when y is a function of x, and what is the value of y when x = -6? move the correct answer to each box. each answer may be used more than once. not all answers will be used. the constant of variation is: type your answer... the value of y when x = -6 is: type your answer...

Explanation:

Step1: Find the constant of variation

For direct - variation, the equation is $y = kx$, where $k$ is the constant of variation. Given $x = 4$ and $y=-12$, we substitute into the equation: $-12=k\times4$. Solving for $k$, we get $k=\frac{-12}{4}=- 3$.

Step2: Find the value of $y$ when $x = - 6$

Now that we know $k=-3$, we use the equation $y = kx$ again. Substitute $x=-6$ and $k = - 3$ into the equation: $y=-3\times(-6)=18$.

Answer:

The constant of variation is: - 3
The value of y when $x=-6$ is: 18