Question

Given the midpoint and one endpoint, find the other endpoint. Endpoint (2,-9) Midpoint (-2,-1)

Answer 1

Step-by-step explanation:

Formula for midpoint is ;

m.p = ( x1 + x2/2 , y1 + y2/2)

So x1= 2 and y1 = -9 and the midpoint has already been given so just equate .

( -2 , -1 ) = ( 2 + x2/2 , -9 + y2 /2)

so now equate -2 to 2+x2/2 and -1 to -9 + y2/2

-2 = 2 + x2/ 2. -1 = -9 + y2 / 2

2 + x2 = -4. -9 + y2 = -2

x2 = -4 -2. y2 = -2 + 9

x2 = -6. y2 = 7

Answer:

( -6 , 7 )