Question

I need help with part a and park b pleasee!

Answer 1

Part A: First plot the points. Then you have to find the midpoint of AB.

Midpoint Formula:(x1+x2)/2,(y1+y2)/2

Answer: (-1,-1)

Part B: We know that the midpoint is (-1,-1). C is (2,7) and D is (x,y)

So redo the midpoint formula with both C and D.

(2+x)/2=-1

2 + x =-2; x=-4

(7+y)/2=-1

7 + y=-2; y=-9

Hope this helps!

Answer 2

Formula for the coordinates of the midpoint of the AB sector:

$A(x_A,\ y_A);\ B(x_B;\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

$A(-8,\ 7),\ B(6,\ -9)\\\\M\left(\dfrac{-8+6}{2};\ \dfrac{7+(-9)}{2}\right)\to M\left(\dfrac{-2}{2};\ \dfrac{-2}{2}\right)\to M(-1;\ -1)$

Answer: The picture 1. M(-1, -1).

$C(2,\ 7),\ M(-1,\ -1)\\\\\dfrac{2+x}{2}=-1\ ;\ \dfrac{7+y}{2}=-1\ \ \ \ |\cdot2\\\\2+x=-2\ ;\ 7+y=-2\\\\x=-4\ ;\ y=-9\\\\D(-4;\ -9)$

Answer: The picture 2. D(-4, -9).