Solving 6 sets of equations borders on "too complex". It is nice to have a graphing calculator that does this easily.
Answer:

Step-by-step explanation:
<u>Perpendicular Bisector</u>
The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.
The midpoint (xm,ym) is calculated as follows:


The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:


Midpoint: M(1,-6)
Let's find the slope of the given segment. The slope can be calculated with the formula:


If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

Solving for m2:

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:


Operating


Rearranging

18. 3 (-5 + 1) = 6 x -3 = -18 false its -14
19. 1/2 x 2 + 1/4 x 12 = 8 false its 4