Question

What is the correct equation for direct variation that includes the point (6, –3)?

Answer 1

A direct variation equation always takes the form y=kx, where k is a constant

Let's plug in the values of x=6 and y= -3 to solve for the value of k

-3 = k(6)

Let's flip this equality so we have the k on the left side of the equation.

6k = -3

Let's divide both sides by 6

k = -3/6

Now, simplify the fraction 

k = -1/2

Now that we found the value of k, our equation is

y = (-1/2) x

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