For the equation -4y =8x, what is the constant of variation?
y = -2x
so, k = -2
To determine the constant of variation in the given equation -4y = 8x, you need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To do that, let's isolate y by dividing both sides of the equation by -4:
-4y = 8x
Dividing by -4: y = -2x
Now the equation is in slope-intercept form: y = -2x. Since the equation does not contain a constant term (a term without x), the constant of variation is 0.