Without constructing, find the coordinates of the intersection point of the graphs y = -5x + 1 and y = -4

To find the coordinates of the intersection points of the straight lines given by the graphs of the functions y = – 5x + 1 and y = – 4, we must solve the system consisting of the equations of these straight lines.
Let’s write the system:
y = – 5x + 1;
y = -4.
We solve the system using the substitution method. In the first equation of the system, instead of y, we substitute – 4 and solve the resulting equation with respect to the variable x:
– 4 = – 5x + 1;
y = – 4.
We solve the equation:
-4 = – 5x + 1;
5x = 1 + 4;
5x = 5;
x = 5/5;
x = 1.
So we got the system:
x = 1;
y = – 4.
These are the coordinates of the point of intersection of the lines.
Answer: (1; – 4).