Find the coordinates of the intersection point of the graphs of the function: y = -5x + 16 and y = -6

In order to find the coordinates of the intersection point of the graphs of the function, given by the equations y = -5x + 16 and y = -6, we compose and solve a system of these equations.

System of equations:

y = -5x + 16;

y = -6.

We have already given the value of the variable y, so we just have to substitute the value y = -6 into the first equation and solve the resulting equation.

System of equations:

-6 = -5x + 16;

y = -6.

We solve the first equation of the system:

-6 = -5x + 16;

5x = 16 + 6;

5x = 22;

x = 22: 5;

x = 4.4.

System:

x = 4.4;

y = -6.

Answer: (4.4; -6).