Which of the points A (3; -2); B (-2; 4); С (1; 2); D (-3; 1) belong to the graph of the function y = -2x + 4?

A point belongs to the graph of a function if, by substituting its coordinates into the equation of the function, the correct equality is obtained.

Given a linear function y = -2x + 4.

1) A (3; -2) x = 3, y = -2. Substitute the value of x and y and check the equality.

-2 = -2 * 3 + 4.

-2 = -6 + 4.

-2 = -2 (correct). Point A belongs to the graph of the function.

2) B (-2; 4) x = -2, y = 4.

4 = -2 * (-2) + 4.

4 = 4 + 4.

4 = 8 (wrong). Point B does not belong to the graph of the function.

3) C (1; 2) x = 1, y = 2.

2 = -2 * 1 + 4.

2 = -2 + 4.

2 = 2 (correct). Point C belongs to the graph of the function.

4) D (-3; 1) x = -3, y = 1.

1 = -2 * (-3) + 4.

1 = 6 + 4.

1 = 10 (wrong). Point D does not belong to the graph of the function.