Make w the subject of
y-aw=2w-1

w = \frac{1 + y}{a + 2}

Step-by-step explanation:

collect the term in w together → ( subtract 2w from both sides)

y - aw - 2w = - 1 → ( subtract y from both sides)

- aw - 2w = - 1 - y → ( multiply through by (- 1) )

aw + 2w = 1 + y → ( take out w as a common factor )

w( a + 2)= 1 + y → ( divide both sides by (a + 2 ) )

w=\frac{1+y}{a+2}

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.