Which statement best describes a graph of paired points that form a proportional relationship?

a. a straight line can be drawn through all the points and the line passes through the point (0,0) .

b. a straight line can be drawn through all the points and the line passes through the point (0,3) .

c. a straight line can be drawn through all the points and the line passes through the point (3,0) .

d. a straight line cannot be drawn through all the points but the line passes through the point (0,0) .

A. A straight line can be drawn through all the points and the line passes through the point (0,0)  is the REQUIRED STATEMENT

Step-by-step explanation:

Two quantities x and y is said to PROPORTIONAL (x∝ y)  if and only if

for every value of x and y.

here, K = Proportionality Constant

Now, if we plot the point of a proportional relationship,

(0,0) is a TRIVIAL SOLUTION for the given relationship.

⇒ The graph passes from (0,0).

Also, all other points can be joined with a straight line, which passes through (0,0).

The graph MAY or MAY NOT pass through the point (0,3) and (3,0) depending upon the values of  x and y and K.

So, here:

A. A straight line can be drawn through all the points and the line passes through the point (0,0)  is the REQUIRED STATEMENT

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