What is the midpoint of line segment AB?

Question

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ikarus ikarus · Answer 1 · 2018-11-10T04:32:23+01:00

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( [tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\[/tex])

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = ([tex]\frac{-1 + 7}{2} , \frac{8 + 3}{2}[/tex]

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.

alinakincsem alinakincsem · Answer 2 · 2018-11-10T10:52:52+01:00

Answer:

(3, 5.5)

Step-by-step explanation:

We are given a line segment AB and the coordinates of two points: A(-1, 8) and B(7, 3) and we are to find the mid-point of line segment AB.

We know that,

mid-point = [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

so putting in the values of the given coordinates to get:

Mid-point of AB = [tex](\frac{-1+7}{2} ,\frac{8+3}{2} )[/tex]

[tex]=(\frac{6}{2} ,\frac{11}{2} )[/tex]

[tex]=(3, 5.5)[/tex]

Therefore, the mid point the line segment AB is (3, 5.5).