The function is given by the formula y = 2x + 3. Does the graph of the function belong to the point A (1; 5) B (-1; 1).
To find out whether a point with certain coordinates belongs to the graph of the function, it is enough to substitute the coordinate values into the formula of the graph of the function. If the equation takes the form of true equality, then the point belongs to the graph of the function, otherwise – the point does not belong to the graph.
1. Consider the coordinates of point A: x = 1, y = 5.
Substitute these values into the function formula: 5 = 2 * 1 + 3 = 2 + 3 = 5, 5 = 5.
This means that point A belongs to the graph y = 2 * x + 3.
2. Consider the coordinates of point B: x = -1, y = 1.
Substitute these values into the function formula: 1 = 2 * (-1) + 3 = -2 + 3 = 1, 1 = 1.
This means that point B belongs to the graph y = 2 * x + 3.
Answer: both points belong to the graph.