Question

ONLY NEED TO DO 6, 8, 10, 12, 14.

Answer 1

• 6 = (2,2)
• 8 = (0, -6)
• 10 =(13,-6)

Explanation:

`Midpoint = ((x_2+x_1)/(2) , (y_2+y_1)/(2) )\\`

6.

`(5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left((-1+5)/(2),\:(-4+8)/(2)\right)\\\\Midpoint =( (4)/(2) , (4)/(2) )\\\\Midpoint = ( 2 , 2)`

8.

`(-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left((3-3)/(2),\:(-5-7)/(2)\right)\\ \\Midpoint = ((0)/(2) , (-12)/(2) )\\\\Midpoint = ( 0, -6)`

10.

`L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = (x_2+x_1)/(2)\\ 2 = (x_2 +(-9))/(2)\\ 2 = (x_2-9)/(2)\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = (y_2+y_1)/(2)\\ -1 = (y_2 +4)/(2) \\-1 * 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\`