# Find the coordinates of the intersection points of the graphs of the function y = -11x-8 and y = -6x + 6.

September 28, 2021 | education

| In order to find the coordinates of the point of intersection of the straight lines given by the equations y = -11x – 8 and y = -6x + 6, we compose and solve a system of these equations.

System of equations:

y = -11x – 8;

y = -6x + 6.

We will solve the system by the substitution method.

Substitute the expression -6x + 6 into the first equation instead of y and get the system:

-6x + 6 = -11x – 8;

y = -6x + 6.

We solve the first equation of the system:

-6x + 11x = -8 – 6;

5x = -14;

x = -14: 5;

x = -2.8.

System of equations:

x = -2.8;

y = -6 * (-2.8) + 6 = 16.8 + 6 = 22.8.

Answer: (-2.8; 22.8).

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