How to find the coordinates of the intersection of the graphs of two linear functions?

First of all, it should be noted that in order to find out the coordinates of the intersection point of two graphs, it is necessary to equate the equations of their functions to each other, then determine x, and then, substituting the found x into each equation, find out y for each graph, and y should be the same.

Example:

The graphs are given by the equations:

1) y = 2 * x;

2) y = 6 – x.

Then we get:

2 * x = 6 – x;

2 * x + x = 6;

3 * x = 6 | : 3;

x = 2.

We get:

y = 2 * 2 = 4;

y = 6 – 2 = 4.

Answer: (2; 4).