Determine the coordinates of the points of intersection of the graphs of the functions y = 4x-20 and y = 5x-30.

In order to find the coordinates of the point of intersection of the graphs of the functions given by the equations y = 4x – 20 and y = 5x – 30, we solve a system of these equations.

System of equations:

y = 4x – 20;

y = 5x – 30.

We will solve the system by the substitution method. Let’s substitute in the first equation instead of y the expression from the second equation.

System of equations:

5x – 30 = 4x – 20;

y = 5x – 30.

We solve the first equation of the system:

5x – 4x = -20 + 30;

x (5 – 4) = 10;

x = 10.

System of equations:

x = 10;

y = 5x – 30 = 5 * 10 – 30 = 50 – 30 = 20.

Answer: (10; 20).