The linear function is given by the formula y = 5x-7. find all points A (2; 3), B (-2; 3), С (1; -2) belonging to this function.

In order to determine which points of those indicated in the task belong to the desired linear function, and which ones do not, you need to substitute their coordinates into the equation of the function and check whether the equality holds. Then we get:

1) 3 = 5 * 2 – 7;

3 = 10 – 7;

3 = 3.

Equality is true. Point A belongs to the graph y = 5 * x – 7.

2) 3 = 5 * (- 2) – 7;

3 = – 10 – 7;

3 = – 17.

Point B does not belong to the graph y = 5 * x – 7.

3) – 2 = 5 * 1 – 7;

– 2 = 5 – 7;

– 2 = – 2.

Point C belongs to the graph y = 5 * x – 7.