At what value of a does the graph of the function y = ax-3 intersect the graph of this function at the point (2; -4).

To solve this problem, we substitute the values of the argument x = 2 and the function y = -4 into the formula y = ax – 3. Having solved the resulting equation, we find the value of a.

2a – 3 = -4;

2a = -4 + 3;

2a = -1;

a = -1/2;

a = -0.5.

In order to find the value of an unknown variable, the first step is to group the members containing unknowns on the left side, and free members on the right. When transferring members, we change their sign to the opposite. In order to find the value of a variable, we divide the product by a factor.

Answer: -0.5