√[(x1 – x2)² + (y1-y2) )²]

The midpoint between the two points (x1,y1) and (x2,y2) is

( x1 + x2)/2 , (y1+y2)/2

If a and b are two points on a number line then the distance from a to b is |a-b|.

If a and b are two points on a number line then the midpoint between a to b is |a-b|/2

2. FIll in the steps to calculate the distance between the points M (4,-3) and N(-2,7)

***Here

x1 = 4

x2 = -3

y1 = -2

y2 = 7

D = √[(x1 – x2)² + (y1– y2) ²]

D = √[(4 – (-3))² + (-2 – 7) ²]

D = √[(4 + 3)² + (-2 – 7) ²]

D = √[(7)² + (-9)²]

D = √[49 + 81]

D = √130

3. Find the coordinates of a midpoint of a segment having the given endpoints.

A: T(3,1), U(5,3)

( x1 + x2)/2 , (y1+y2)/2

( 3 + 1)/2 , (5 + 3)/2

4/2 , 8/2

2 , 4

B: J(-4,2), F(5,-2)

( x1 + x2)/2 , (y1+y2)/2

( -4 + 2)/2 , (5 -2)/2

-2/2 , 3/2

-1 , 3/2

FInd the coordiantes of the missing endpoint given that P is the midpoint of line NQ

A: N(2,0), P(5,2)

m1 = ( x1 + x2)/2

5 = (2 + x2)/2

5 = 1 + x2/2

x2/2 = 4

x2 = 8

m2 = ( y1 + y2)/2

2 = (0 + y2)/2

2 = y2/2

y2 = 4

EndPoint = ( 8, 4 )

B: N(5,4), P(6,3)

C: Q(3,9), P(-1.5)