### Home > PC > Chapter 6 > Lesson 6.1.4 > Problem6-63

6-63.

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

1. The perpendicular bisector of $\overline { P R }$.

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.

2. The median line that goes from $Q$ to the midpoint of $\overline { P R }$.

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.

3. The altitude of $ΔPQR$ from $Q$ to side $\overline { P R }$.

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.

$y=\frac{9}{2}(x-2)+12$