Suppose y varies directly with x.
Write a direct variation equation that relates x and y.
y = -10 when x = 2
If y varies directly with x, then we can write the direct variation equation as:
y = kx.
To find the value of k, we can use the given information: y = -10 when x = 2.
Substituting the values into the equation, we have:
-10 = k(2).
To solve for k, divide both sides of the equation by 2:
-10/2 = k.
Simplifying, we get:
-5 = k.
Therefore, the direct variation equation that relates x and y is:
y = -5x.