Question

Please Help ASAP!!!! Thank u if u do

Answer 1

Answer:

1. (-3 ,9)
2. (-2,0)
3. (7,5)

Step-by-step explanation:

$Midpoint = (\frac{x_2+x_1}{2} ,\frac{y_2+y_1}{2})$

1.

$\left(x_1,\:y_1\right)=\left(-4,\:6\right),\:\left(x_2,\:y_2\right)=\left(-2,\:12\right)\\\\=\left(\frac{-2-4}{2},\:\frac{12+6}{2}\right)\\\\= (\frac{-6}{2} , \frac{18}{2} )\\\\=\left(-3,\:9\right)$

2.

$\left(x_1,\:y_1\right)=\left(0,\:5\right),\:\left(x_2,\:y_2\right)=\left(-4,\:-5\right)\\\\=\left(\frac{-4+0}{2},\:\frac{-5+5}{2}\right)\\\\= (\frac{-4}{2} , \frac{0}{2}) \\\\=\left(-2,\:0\right)$

3.

$L(-1,9)=(x_1,y_1)\\M(3,7)=(x,y)\\(x_2,y_2) = ?\\\\x = \frac{x_2+x_1}{2} \\ 3 = \frac{x_2+(-1)}{2}\\ \\3 = \frac{x_2-1}{2}\\ \\3\times 2 =x_2-1\\6 =x_2-1\\6+1=x_2\\7=x_2\\\\\\y = \frac{y_2-y_1}{2}\\ 7 = \frac{y_2+9}{2} \\7\times 2 = y_2+9\\14 =y_2 +9\\14-9 =y_2\\\\5 =y_2\\\\= (7 , 5)$