Question

Find the midpoint M of the line segment joining the points S = (-3, -6) and T = (5, 4). M =

Answer 1

Midpoint is simply the half of the distance between two points. In order to find this we will need to find the distance first and then find the midpoint... Let's start solving!~

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Distance⤵️

$\boxed{ \sf \: formula :distance = \sqrt{( x_{2}-x_{1})^{2} + ( y_{2} - y_{1} ) ^{2} } }$

• x1= -3
• y1= -6
• x2= 5
• y2= 4

According to the solution, Their midpoint is at (6.4,0)...

Answer 2

• S(-3,-6)
• T(5,4)

Let's use midpoint formula

$\\ \tt\hookrightarrow M(x,y)=\left(\dfrac{x_1+y_1}{2},\dfrac{x_2+y_2}{2}\right)$

$\\ \tt\hookrightarrow M(x,y)=\left(\dfrac{-3+5}{2},\dfrac{-6+4}{2}\right)$

$\\ \tt\hookrightarrow M(x,y)=\left(\dfrac{2}{2},\dfrac{-2}{2}\right)$

$\\ \tt\hookrightarrow M(x,y)=(1,-1)$