Question

Which statement best describes a graph of paired points that form a proportional relationship? A straight line can be drawn through all of the the points but the line does not pass through the origin. A straight line can be drawn through all the points and the lines passes through the point where x = 0 and y = 0. A straight line can be drawn through all the points and the line passes through the point (3, 0). A straight line cannot be drawn through all the points and the line passes through the origin.

Answer 1

a straight line can be drawn through all the points and the lines passes through the point where x = 0 and y = 0 (the origin).

Explanation:

in a proportional relationship, one variable is always a constant value times the other. That constant "a" is know as the "constant of proportionality".

y = ax

and as you can easily see, that implies if x = 0, then y = 0.

therefore, the given answer is correct.