How do you find the midpoint of ( 3, 8 ) and ( 5, 4 )?

2 Answers
May 24, 2018

(4,6)(4,6)

Explanation:

"given coordinates of endpoints say"given coordinates of endpoints say

x_1,y_1)" and "(x_2,y_2)" then"x1,y1) and (x2,y2) then

"midpoint "=[1/2(x_1+x_2),1/2(y_1+y_2)]midpoint =[12(x1+x2),12(y1+y2)]

"let "(x_1,y_1)=(3,8)" and "(x_2,y_2)=(5,4)let (x1,y1)=(3,8) and (x2,y2)=(5,4)

"midpoint "=[1/2(3+5),1/2(8+4)]midpoint =[12(3+5),12(8+4)]

color(white)("midpoint ")=(4,6)midpoint =(4,6)

May 24, 2018

The midpoint equal:
M=(x_("midpoint"),y_("midpoint"))=(4,6)M=(xmidpoint,ymidpoint)=(4,6)

Explanation:

Let ;

A=(x_1,y_1)=(3,8)A=(x1,y1)=(3,8)

B=(x_2,y_2)=(5,4)B=(x2,y2)=(5,4)

To find the x_("midpoint")xmidpoint

x_("midpoint")=(x_1+x_2)/2=(3+5)/2=8/2=4xmidpoint=x1+x22=3+52=82=4

To find the y_("midpoint")ymidpoint

y_("midpoint")=(y_1+y_2)/2=(8+4)/2=12/2=6ymidpoint=y1+y22=8+42=122=6

The midpoint equal:

M=(x_("midpoint"),y_("midpoint"))=(4,6)M=(xmidpoint,ymidpoint)=(4,6)

Show the sketch below:

JamesJames