Sara graphs a line passing through points that represent a proportional relationship. which set of points could be on the line that sara graphs?

a). (2,,,9)
b). (6,,,24)
c). (3,,,4)
d). (1,,,3)

Option B.

Step-by-step explanation:

By definition, the graph of a proportional relationships is a straight line that passes through the origin (Remember the the origin is at ).

Then, the equation have the following form:

Where "k" is the constant of proportionality (or its slope)

Then, since the Sara graphs a line that represent a proportional relationship, you can conclude that the line must pass through the point .

Then:

The set of points in Option A could not be on that line, because when

The set of points (Given in Option B) could be on the line that Sara graphs, because it has the point

For the set of points shown in Option C and Option D, you can check if the slope is constant:

Since the slope is not constant, this set of ponts could not be on the line.

 Since the slope is not constant, this set of ponts could not be on the line.

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step-by-step explanation: