Suppose y varies directly with x.

Question

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

Answer 1

The direct variation equation relating x and y can be written as:

y = kx,

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

-10 = k(2).

To solve for k, we divide both sides of the equation by 2:

k = -10/2 = -5.

Therefore, the direct variation equation that relates x and y is:

y = -5x.