The midpoint of the line joining (a,2) and (3,6) is (2,b). Find the values of a and b?

1 Answer
Mar 29, 2018

a=1
b=4

Explanation:

The mid point is actually the mean values.

Given:
Set point 1 as P_1->(x_1,y_1)=(a,2)
Set point 2 as P_2->(x_2,y_2)=(3,6)

The mean point given as: P_("mid")->(x_m,y_m)=(2,b)
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So the mean x value is: color(white)("d")x_m=(a+3)/2=2

Multiply both sides by 2 giving:

a+3=4

Subtract 3 from both sides

a=1
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So the mean 'y value is: color(white)("d")y_m=b=(2+6)/2=4