You
find the midpoint m of the line segment joining the points
a = (6,-3) and b = (-2,1)

For this case we have by definition, given two points, . The formula of the midpoint is given by:

We have to:

Substituting:

So, the midpoint is:

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

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.