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(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).

 Mar 11, 2021

Best Answer 

 #1
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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. :))

=^._.^=

 Mar 11, 2021
 #1
avatar+928 
0
Best Answer

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. :))

=^._.^=

catmg Mar 11, 2021

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