(a) Find the coordinates of the midpoint of AB with endpoints A(-2,1) and B(5,4).
(b) Find the line that is perpendicular to the segment that passes through the midpoint (the perpendicular bisector).
+2401 Hi Guest!
A
Midpoint is just the average.
The x coordinates are -2 and 5, so the average is 1.5.
The y coordinates are 1 and 4, so the average is 2.5.
So the midpoint is (1.5, 2.5).
B
The perpendicular segment has a negative recipical slope.
To graph AB, the slope is (4-1)(5--2) = 3/7.
So the new slope is -7/3.
y = -7/3x + b
To find b, we can just plug in the points 1.5, 2.5.
2.5 = -7/3(1.5) + b
2.5 = -3.5 + b
b = 7
y = -7/3x + 7
I hope this helped. :))
=^._.^=
+2401 Hi Guest!
A
Midpoint is just the average.
The x coordinates are -2 and 5, so the average is 1.5.
The y coordinates are 1 and 4, so the average is 2.5.
So the midpoint is (1.5, 2.5).
B
The perpendicular segment has a negative recipical slope.
To graph AB, the slope is (4-1)(5--2) = 3/7.
So the new slope is -7/3.
y = -7/3x + b
To find b, we can just plug in the points 1.5, 2.5.
2.5 = -7/3(1.5) + b
2.5 = -3.5 + b
b = 7
y = -7/3x + 7
I hope this helped. :))
=^._.^=
