Answer: Since the exercise is incomplete, I'll give you the general steps to find the equation of the perpendicular bisector of PQ (See explanation).
Step-by-step explanation:
1. You need to find the midpoint of PQ with the following formula:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
2. Then, you must find the slope of PQ with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
3. By definition, the slopes of perpendicular lines are negative reciprocals. Knowing that, determine the slope of of the perpendicular bisector.
4. Remember that the Slope-Intercept form of a line is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Substitute the slope of the perpendicular bisector and the coordinates of the midpoint of PQ into the equation [tex]y=mx+b[/tex].
5. Solve for "b".
6. Finally, substitute the values of "m" and "b" into [tex]y=mx+b[/tex], in order to get the equation of the perpendicular bisector of PQ.
