Question

Find the midpoint of the line segment joining by A(-2,-3) & (2,5)​

Answer 1

$\Large{\underline{\underline{\bold{✯Given:}}}}$

• Point A = (-2,-3) $→\;{\sf{(X_1,Y_1)}}$
• Point B = (2,5) $→\;{\sf{(X_2,Y_2)}}$

$\Large{\underline{\underline{\red{\bold{➸To\;Find:}}}}}$

• Mid Point of AB.

$\Large{\underline{\underline{\blue{\bold{✄Solution:}}}}}$

Let's,

The Mid Point be O = (X,Y)

$\boxed{\green{\sf{Midpoint = \frac{(X_1+X_2)}{2},\frac{(Y_1+Y_2)}{2}}}}$

$\frac{( - 2 + 2)}{2} , \frac{( - 3 + 5)}{2} \\ \frac{0}{2} , \frac{2}{2} \\ 0,1$

• The Mid Point of AB ☞ $\Large{\sf{(X,Y)\;=\;{\color{salmon}(0,1)}}}$

➸ Important Key Points:-

• Coordinate Geometry, Mid Point of a line is Average of x coordinates, Average of y coordinates.
• The Midpoint is a point lying equidistant and between these two points.

$\boxed{\tt{@MrSovereign}}$

Hope This Helps!!