Question

Instructions: If y varies directly as a and x = 2 when y = - 4 find y when x = - 6 Write the equation using the given information, then use the equation to solve for y. Use the forward slash ( i, e ,^ -0 /^ n ) for all fractions (e. g - 1/2 ) is the same - 1/2 ) Equation: Solution: y =

Answer 1

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The equation for direct variation is y = kx, where k is the constant of proportionality. To find k, we can use the given information that x = 2 when y = -4:

-4 = k(2)

k = -2

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

y = (-2)(-6)

y = 12

Therefore, when x = -6, y = 12. The equation for direct variation in this case is y = -2x.

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