Question

|Calculate the midpoint (-5,5), K(-3,-2)

Answer 1

Explaination :

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

(-5,5) and (-3,-2)

★ Midpoint of two points:-

`\boxed{ \sf{M \: = \: (x_1 \: + \: x_2 )/(2) \: , \: (y_1 \: + \: y_2 )/(2)}} \: \pink\bigstar`

★ We have :

• x1 = -5
• y1 = 5
• x2= -3
• y2 = -2

★ Putting the values :

• Refer the attachment.

Additional Information :

★ Centroid of a triangle :-

• 
  `\boxed{ \sf{Centroid \: = \: (x_1 \: + \: x_2 \: + \: x_3)/(3) }} \: \pink\bigstar`

★ Distance Formula :-

• 
  `\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _(2) - x _(1)) {}^(2) \: + \: (y _(2) - y _(1)) {}^(2) }}}} \: \red\bigstar`

Answer 2

(-4,1.5)

Explanation:

Given :-

• Two points (-5,5) and (-3,-2)

And we need to find out the midpoint of the two points. The midpoint of two points is given by the ,

`:\implies` Midpoint =( x1+x2/2 , y1+y2/2)

`:\implies` Midpoint =( -5-3/2 , 5-2/2)

`:\implies` Midpoint =(-8/2,3/2)

`:\implies` Midpoint = (-4 , 1.5)

Hence the midpoint of the two points is (-4,1.5) .