Find the point of intersection of the graphs of the functions y = 2x + 1 and y = 4x + 3.

Find the point of intersection of the graphs of the functions y = 2x + 1 and y = 4x + 3. In the answer, write down the product of coordinates.

To find the point of intersection of the graphs, you will need to solve a system of equations from the presented two functions, since x and y are common for both functions are their solution and the point of their intersection:

y = 2 * x + 1;

y = 4 * x + 3;

2 * x + 1 = 4 * x + 3;

4 * x – 2 * x = 1 – 3;

2 * x = -2;

x = -2: 2 = -1;

y = 2 * x + 1 = – 2 + 1 = – 1;

Let’s check for the second function:

y = 4 * x + 3 = -4 + 3 = – 1.

The graphs intersect at a point with coordinates: x = -1; y = -1.

Their work will be:

x * y = -1 * (- 1) = 1.

Answer: 1.