Question

Find the midpoint of the line segment with end coordinates of:
(−2,−2) and (2,8)

Answer 1

Answer:

Midpoint work with steps

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Input Data :

Point 1(xA,yA) = (0, 2)

Point 2(xB,yB) = (8, 8)

Objective :

Find what is a midpoint of a line segment?

Answer 2

Answer:

The midpoint of the line segment with end coordinates (−2,−2) and (2,8) = (0,3)

Step-by-step explanation:

Given,

The endpoint coordinates of a line segment  are (−2,−2) and (2,8)

To find,

The coordinate of the midpoint of the line segment

Recall the formula

The coordinates of the midpoint of the line segment joining the points A(x₁, y₁) and B(x₂, y₂) are $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Solution:

Here the end coordinates of the line segment are (−2,−2) and (2,8), then we have

x₁ = -2; y₁ = -2;x₂ = 2; y₂ = 8

Substituting we get,

The coordinates of the midpoint  are =  $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

= $(\frac{-2+2}{2}, \frac{-2+8}{2})$

= $(\frac{0}{2}, \frac{6}{2})$

= (0,3)

The midpoint of the line segment with end coordinates (−2,−2) and (2,8) = (0,3)

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