Question

find the midpoint of the line segment joining the points (-2,5) and (8,3)​

Answer 1

Given ,

The two points are (-2,5) and (8,3)

We know that , the mid point of line segment joining the two points is given by

$\boxed{ \sf{x = \frac{ x_{2} + x_{1} }{2} \: , \: y= \frac{ y_{2} + y_{1} }{2} }}$

Thus ,

x = (8 - 2)/2 , y = (3 + 5)/2

x = 6/2 , y = 8/2

x = 3 , y = 4

★ The coordinate of mid point is (3,4)

Answer 2

Midpoint = (3, 4)

GIVEN:- Line segments joining the points are (-2, 5) and (8, 3)

TO FIND:- Midpoints of the line segment given

SOLUTION :-

As we know, the line segment joining the two points is given as

• $x = \frac{ {x}^{1} + {x}^{2} }{2}$
• And $y = \frac{ {y}^{1} + {y}^{2} }{2}$

Here,

${x}^{1} = - 2 \: and \: {x}^{2} = 8$

${y}^{1} = 5 \: and \: {y}^{2} = 3$

By substituting the values,

$x = \frac{ - 2 + 8}{2} \\ = \frac{6}{2 } \\ = 3$

$y = \frac{5 + 3}{2} \\ = \frac{8}{2 } \\ = 4$

Hence, midpoint (x, y) = (3,4)

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