Find the abscissa of the intersection of the graphs of the function y = 9x-4 and y = 4x + 9.

To determine the coordinates of the intersection of the given graphs of functions, we equate the right sides of both functions, then we solve the resulting equation.
We get: 9 * x – 4 = 4 * x + 9.
Subtract the variable 4 * x from both sides of the equation.

9 * x – 4 * x – 4 = 4 * x – 4 * x + 9.

5 * x – 4 = 9.

Add 4 to both sides of the equation.

5 * x – 4 + 4 = 9 + 4.

5 * x = 13.

Divide both sides of the equation by 5.

5 * x / 5 = 13/5.

x = 2.6.

Answer: the graphs of the functions y = 9 * x – 4 and y = 4 * x + 9 on the abscissa intersect at point 2.6.