Find the coordinates of the intersection of the lines y = 10x-8 and y = -3x + 5

To find the point of intersection of the graphs of two functions, you need to solve a system of equations. The resulting solution will give the coordinates of the intersection point of these graphs:

y = 10 * x – 8;

y = – 3 * x + 5;

10 * x – 8 = – 3 * x + 5;

10 * x + 3 * x = 5 + 8;

13 * x = 13;

x = 13/13;

x = 1;

y = 10 * 1 – 8;

y = 2.

Let’s check for the second graph:

y = – 3 * 1 + 5;

y = 2.

Answer: the intersection point has coordinates x = 1, y = 2.