Find the abscissa of the point of intersection of the graphs of the functions y = -3x and y = 5x + 8.

In order to find the abscissa of the point of intersection of the graphs of the functions given by the equations y = -3x and y = 5x + 8 we will solve a linear equation with one variable.

When two straight lines intersect, the ordinates take equal values.

We equate them and get:

-3x = 5x + 8;

We pass to the solution of a linear equation with one variable.

We group the terms with and without variables in different parts of the equation.

-3x – 5x = 8;

We give similar ones on the left side of the equation:

-8x = 8;

x = 8: (-8);

x = -1.

Answer: The abscissa of the intersection point is -1.