Without drawing, find the point of intersection of the graph of the functions y = 4x-17 and y = -x-2

To calculate the intersection point of the graphs of the functions y = 4 * x – 17 and y = -x – 2, you need to equate the functions to each other.
We get an equation with unknown x.
4 * x – 17 = -x – 2;
On one side of the equation we write the values of x, and on the other side are known numbers.

4 * x + x = -2 + 17;

4 * x + x = 15;

x * (4 + 1) = 15;

x * 5 = 15;

x = 15/5;

x = 3;

Find the value of y.

y = -x – 2 = -3 – 2 = -5;

Answer: (3; -5) is the intersection point of the graphs of the functions y = 4 * x – 17 and y = -x – 2.