A proportional relationship is depicted by the changes in one variable with respect to the other.
Let us test the values
Assume x = 2, 3 and 4 for all options
A) y + 4 = 3x,
y= 3x - 4
If x = 2, y = 2
if x = 3, y = 5
If x = 4, y = 8
B) y − 3x = 0
y = 3x
If x = 2, y = 6
If x= 3, y = 9
If x = 4 , y = 12
C) y + 5x = 6
y = 6-5x
If x = 2, y = -4
If x = 3, y = -9
If x = 4, y = -14
D) y + 1/4x = 2
y = 2 - 1/4x
If x = 2, y = 15/8
If x = 3, y = 23/12
If x = 4, y = 31/16
equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y
