When graphing a function, what is meant by the input and output values?

The output variable is called the dependent variable, and the input variable is called the independent variable. Hope this helps!

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.