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

2 Answers
Jim G.
May 24, 2018

#(4,6)#

Explanation:

#"given coordinates of endpoints say"#

#x_1,y_1)" and "(x_2,y_2)" then"#

#"midpoint "=[1/2(x_1+x_2),1/2(y_1+y_2)]#

#"let "(x_1,y_1)=(3,8)" and "(x_2,y_2)=(5,4)#

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

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

James
May 24, 2018

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

Explanation:

Let ;

#A=(x_1,y_1)=(3,8)#

#B=(x_2,y_2)=(5,4)#

To find the #x_("midpoint")#

#x_("midpoint")=(x_1+x_2)/2=(3+5)/2=8/2=4#

To find the #y_("midpoint")#

#y_("midpoint")=(y_1+y_2)/2=(8+4)/2=12/2=6#

The midpoint equal:

#M=(x_("midpoint"),y_("midpoint"))=(4,6)#

Show the sketch below:

James

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