the value of y varies directly with x, and y = -8 when x = 4. what is y when x = -4? y = ? remember: y = kx

the value of y varies directly with x, and y = -8 when x = 4. what is y when x = -4? y = ? remember: y = kx
Answer
Answer:
8
Explanation:
Step1: Find the constant of variation k
Given $y = kx$, when $y=-8$ and $x = 4$. Substitute into the equation: $-8=k\times4$. Solving for $k$, we get $k=\frac{-8}{4}=-2$.
Step2: Find y when x=-4
Use the equation $y = kx$ with $k=-2$ and $x=-4$. Then $y=-2\times(-4)=8$.