Find an equation for the perpendicular bisector of the line segment whose endpoints are (2,-9) and (-6,7).
1 answer:
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Answer:
C= 82.1116
k=-0.0007192
Step-by-step explanation:
Applying logarithmic properties yields in the following linear system:
Solving for k:
Solving for C:
C= 82.1116
k=-0.0007192
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,