1. where is the y intercept of any direct variation equation?
A direct variation equation is one in which the general form is:
y = k x
where k is the constant of proportionality
The y-intercept in this case is therefore zero so it is located on the origin (0, 0)
2. The equation which is a direct variation is:
3) 3x-7y=0
Because we can write this as:
y = (3/7) x
3. what is the direct variation equation if y=8 and x = 4?
We solve for the value of k since we know that:
k = y/x
k = 8/4 = 2
So the equation is:
y = 2x
4. what is the direct variation equation if y =-5 and x = 7?
We also solve for the value of k since we know that:
k = y/x
k = -5/7
So the equation is:
y = (-5/7) x