Find the coordinates of the intersection of the graphs of the function y = -10 x-9 and y = -24 x + 19.

In order to find the coordinates of the point of intersection of the graphs of the function, given by the equations y = -10x – 9 and y = -24x + 19, we solve a system of these equations.

System of equations:

y = -10x – 9;

y = -24x + 19.

We will solve the system by the substitution method. In the first equation, replace y with -24x + 19.

System of equations:

-24x + 19 = -10x – 9;

y = -24x + 19.

We solve the resulting first equation of the system:

-24x + 10x = -9 – 19;

-14x = -28;

x = -28: (-14);

x = -2.

System of equations: b

x = -2;

y = -24x + 19 = -24 * (-2) + 19 = 48 + 19 = 67.

Answer: (-2; 67).