Midpoint vs Distance

[flossit]

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Guys, need help when do we use Midpoint and when do we use Distance formula?

 

[Roy Williams]

If it's asking you to find the distance between two points, use the distance formula. If it's telling you where two points are and it wants to know the point that bisects them, use the midpoint formula. Make sense? I can explain more if you don't understand.

 

[flossit]

If it's asking you to find the distance between two points, use the distance formula. If it's telling you where two points are and it wants to know the point that bisects them, use the midpoint formula. Make sense? I can explain more if you don't understand.

Please explain. Maybe you have an example

 

[Roy Williams]

Please explain. Maybe you have an example

Okay so say we're given the points (2,4) and (-3,12).

1. Find the distance between the two points
d=sqrt((x1-x2)^2 + (y1-y2)^2)
= sqrt((2-(-3))^2 + (4-12)^2)
= sqrt(25 +64) = sort(89) = 9.4

2. What is the point that bisects the line formed by the two points listed (aka what is the midpoint)
midpoint = ((x1+x2)/2),((y1+y2)/2)
= (((2+(-3))/2),((4+12)/2))
=(-1/2,8)

 

[flossit]

Okay so say we're given the points (2,4) and (-3,12).

1. Find the distance between the two points
d=sqrt((x1-x2)^2 + (y1-y2)^2)
= sqrt((2-(-3))^2 + (4-12)^2)
= sqrt(25 +64) = sort(89) = 9.4

2. What is the point that bisects the line formed by the two points listed (aka what is the midpoint)
midpoint = ((x1+x2)/2),((y1+y2)/2)
= (((2+(-3))/2),((4+12)/2))
=(-1/2,8)

Got it thank you!!!!

 

[Tallon]

Okay so say we're given the points (2,4) and (-3,12).

1. Find the distance between the two points
d=sqrt((x2-x1)^2 + (y2-y1)^2)
= sqrt((2-(-3))^2 + (4-12)^2)
= sqrt(25 +64) = sort(89) = 9.4

2. What is the point that bisects the line formed by the two points listed (aka what is the midpoint)
midpoint = ((x1+x2)/2),((y1+y2)/2)
= (((2+(-3))/2),((4+12)/2))
=(-1/2,8)