For the equation -4y=8x, what is the constant of variation?
y = (-2) x
To find the constant of variation, we need to rewrite the equation in the form y = kx, where k represents the constant of variation.
Given equation: -4y = 8x
To rewrite it in the desired form, divide both sides of the equation by -4:
-4y/(-4) = 8x/(-4)
Simplifying, we get:
y = -2x
Comparing this to the desired form y = kx, we can see that the constant of variation (k) is -2.
To find the constant of variation, we need to first write the equation in slope-intercept form, which is y = mx + b. The constant of variation (k) is represented by the value of m.
Starting with -4y = 8x, we can divide both sides of the equation by -4 to isolate y:
-4y / -4 = 8x / -4
y = -2x
Now we have the equation in slope-intercept form, where m (the coefficient of x) represents the constant of variation. In this case, the constant of variation is -2.