Question

3 Find the midpoint of line segment c (-5,3) and (7,5)​

Answer 1

Answer:-

The Midpoint Of The Given Points Is (1, 4).

Explanation:-

Given:-

• Coordinates of two points = (-5, 3) and (7, 5)

To Find:-

• The midpoint of given points.

Formula Used:-

Mid - Point Formula:-

$\\ \large \orange{\leadsto \boxed{ \blue{ \rm x = \frac{ x_1 + x_2 }{2} }}}. \\ \\ \large \orange{\leadsto \boxed{ \blue{ \rm y = \frac{ y_1 + y_2 }{2} }}}.$

Where,

• x and y are x and y coordinates of the midpoint.

• $\tt x_1\:\:And\:\:x_2$ are x coordinates of the two given points.

• $\tt y_1\:\:And\:\:y_2$ are y coordinates of the two given points.

So Here,

• x, y = ?? [To Find].

• $\tt x_1\:\:And\:\:x_2$ = -5 and 7 respectively.

• $\tt y_1\:\:And\:\:y_2$ = 3 and 5 respectively.

Now,

By putting the above values in the formula we get,

$\\ \bf\mapsto x = \frac{x_1 + x_2 }{2} .$

$\\ \tt\mapsto x = \frac{ - 5 + 7}{2}.$

$\\ \tt\mapsto x = \frac{2}{2} .$

$\\ \large \red{\mapsto \boxed{ \blue{ \bf x = 1.}}}$

Similarly,

$\\ \bf\mapsto y = \frac{y_1 +y_2 }{2} .$

$\\ \tt\mapsto y = \frac{3 + 5}{2} .$

$\\ \tt\mapsto y = \frac{8}{2} .$

$\\ \large \red{\mapsto \boxed{ \blue{ \bf y = 4.}}}$

Therefore The Coordinates Of The Midpoint Is (x, y) = (1, 4).

So The Required Coordinates is (1, 4).