What is the ordered of pair of the midpoint of segment with endpoints at (3,10) and (7,20)

hope this helps

First, you must find the midpoint of the segment, the formula for which is  

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

. This gives  

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula  

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of  

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  

5

is  

−

1

5

.

We now know that the perpendicular travels through the point  

(

−

5

,

3

)

and has a slope of  

−

1

5

.

Solve for the unknown  

b

in  

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is  

y

=

−

1

5

x

+

2

.

Related questions

What is the midpoint of the line segment joining the points (7, 4) and (-8, 7)?

How would you set up the midpoint formula if only the midpoint and one

Step-by-step explanation:

answer: 2/4

step-by-step explanation:

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