CPM Homework Help : PCT Problem 6-63

Using $ΔPQR$ , find the equations for the following lines.

Triangle, P Q R, with vertices labeled with the following coordinates: P, (negative 4, comma 6), Q, (2, comma 12), & R (14 comma 2).

The perpendicular bisector of $\overline { P R }$ .
Steps (a):
Added to triangle, P Q R, point D, on side, P R, with dashed line passing through D, perpendicular to side, P R.
1. Find the slope of the $⊥$ line.
2. Find the midpoint $\left(D\right)$
3. Substitute into the point-slope form.
The median line that goes from $Q$ to the midpoint of $\overline { P R }$ .
Steps (b):
Dashed line Added passing through, Q & D.
1. Given the points $D$ and $Q$ , find the slope
2. Use the point-slope form of a line to find an equation.
The altitude of $ΔPQR$ from $Q$ to side $\overline { P R }$ .
Steps (c):
Dashed line added from Q, perpendicular to side, P R.
1. Find the slope of the $⊥$ line.
2. Then using the slope and pt. $Q$ , use the form $y = mx + b$ to find $b$ .
3. Then substitute back $m$ and $b$ back into the form.
Answer (c):
$y=\frac{9}{2}(x-2)+12$