Find the coordinates of the intersection of the graphs of the functions y = -x / 3 and y = x-4.

In order to find the coordinates of the intersection point of the graphs of the functions y = -x / 3 and y = x – 4, we solve the system of equations:

y = x – 4;

y = -x / 3.

To solve the system of equations, we will use the substitution method.

System of equations:

-x / 3 = x – 4;

y = -x / 3.

We solve the first equation of the system:

-x / 3 = x – 4;

-x = 3 (x – 4);

-x = 3x – 12;

-x – 3x = -12;

x (-1 – 3) = -12;

-4x = -12;

x = -12: (-4);

x = 3.

System of equations:

x = 3;

y = -x / 3 = -3/3 = -1.

Coordinates of the point of intersection are a function given by the equations y = x – 4; y = -x / 3 (3; -1).