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 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.