Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2
The direct variation equation that relates x and y is y = kx, where k is the constant of variation.
To solve for k, substitute the given values of x and y into the equation:
-10 = k(2)
Divide both sides of the equation by 2:
-5 = k
The direct variation equation that relates x and y is therefore:
y = -5x