Which of the points A (5; -3), B (-2; 4), C (0; 0), D (2; 1) belong to the graph of direct proportionality y = 1 / 2x.

| June 25, 2021 | education

In order to find out whether a point with coordinates (x0; y0) belongs to the graph of direct proportionality y = (1/2) * x, it is necessary to check whether the equality y0 = (1/2) * x0 holds.

If this equality is satisfied, then this point belongs to the graph of this direct proportionality, and if not, then it does not belong.

Check point A (5; -3).

Since -3 ≠ (1/2) * 5, then this point does not belong to the graph of this direct proportionality.

Check point B (-2; 4).

Since 4 ≠ (1/2) * (-2), then this point does not belong to the graph of this direct proportionality.

Check point C (0; 0).

Since 0 = (1/2) * 0, then this point belongs to the graph of this direct proportionality.

Check point D (2; 1).

Since 1 = (1/2) * 2, this point belongs to the graph of this direct proportionality.

Answer: points C (0; 0) and D (2; 1) belong to the graph of this direct proportionality.



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