Suppose y varies directly with x. Write a direct variation equation that relates x and y. y=-10 when x=-2

Answer 1

If y varies directly with x, we can write the direct variation equation as:

y = kx

To find the value of k, we can use the given information that y = -10 when x = -2.

Substituting these values into the equation:

-10 = k(-2)

Simplifying, we get:

-10 = -2k

Dividing both sides of the equation by -2:

k = 5

Now that we know the value of k, we can rewrite the direct variation equation:

y = 5x