Answer:
Equation: y = -2x
Solution: y = 12
Step-by-step explanation:
y varies directly as x, can be expressed by the equation, y = kx. Where, k = constant of proportionality.
Given that when x = 2, y = -4, to find the value of k, plug in the values of x and y into y = kx.
Thus:
-4 = k(2)
Divide both sides by 2
-4/2 = k
k = -2
To write the equation for the information given, substitute k = -2 into y = kx.
✔️Equation: y = -2x
✔️When x = -6,
y = -2x
Plug in the value of x
y = -2(-6)
y = 12
