write an equation of the direct variation that includes the given point, (-5/6, 6/5)
To write an equation of direct variation that includes the point (-5/6, 6/5), we need to remember that direct variation equations have the form y = kx, where k is the constant of variation.
To find the equation, we need to determine the value of k using the given point. The given point (-5/6, 6/5) means that when x = -5/6, y = 6/5.
Let's substitute these values into the direct variation equation:
6/5 = k * (-5/6)
To solve for k, we can cross multiply:
(6/5) * (6/(-5)) = k
After simplifying, we get:
k = -36/25
Now that we have the value of k, we can write the equation using the direct variation form:
y = (-36/25)x
Therefore, the equation of the direct variation that includes the point (-5/6, 6/5) is y = (-36/25)x.