Which of the points A (0; 0), B (2; -4), C (5; 3), D (-4; 8) belong to the graph of the linear function y = -2x?

To check whether the graph of the function y = – 2x points with given coordinates, you need to substitute them into this equation and check the correctness of the equality.

1) A (0; 0); x = 0, y = 0;

0 = – 2 * 0;

0 = 0 – true, so point A belongs to the graph.

2) B (2; 4); x = 2; y = 4;

4 = – 2 * 2;

4 = – 4 – not true, so point B does not belong to the graph.

3) C (5; 3); x = 5, y = 3;

3 = – 2 * 5;

3 = – 10 – not true, point C does not belong to the graph.

4) D (- 4; 8); x = – 4, y = 8;

8 = – 2 * (- 4) ；

8 = 8 – true, so point D belongs to the graph.

Answer. D (- 4 ； 8).