Question

Find the midpoint of the line segment with end coordinates of: ( − 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.

Answer 1

Answer:

(1,2.5)

Step-by-step explanation:

Using Mid Point Formula:-

Coordinates of Mid point- [(x1+x2)/2 , (y1+y2)/2]

So, (-1+3)/2 , (7-2)2

(1 , 5/2)

(1 , 2.5)

Hope it helps!

Answer 2

Concept:

The midpoint of the line segment is the point in the middle of the segment i.e. at equidistant from both ends.

 

Given:

We have,

A line segment,

End coordinates of a line segment: ( − 1 , 7 ) and ( 3 , − 2 ).

Find:

We are asked to find the midpoint of the line segment.

Solution:

We have,

A line segment,

End coordinates of a line segment: ( − 1, 7 ) and ( 3, − 2 ),

Here,

x₁ = -1,

x₂ = 3,

y₁ = 7,

y₂ = -2

So,

Using the midpoint formula,

i.e.

Midpoint  = (x₁ + x₂)/2, (y₁ + y₂)/2

now,

putting values in the formula,

i.e.

Midpoint  = (-1 + 3)/2, (7 + (-2))/2

We get,

Midpoint  = (1, 2.5)

Hence, the midpoint of the line segment is (1, 2.5).

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