Question

Math help 100 points ALSO CHECK OUT MY PROFILE (MANY UNANSWERED QUESTIONS)!!!!!

Answer 1

Midpoint formula:
1. Point 1 (-2,2) Point 2 (4,-1)
Midpoint: (-2+4/2, 2-1/2)(2/2, 1/2)(1, 1/2)
2. Point 1 (-3,-5)Point 2 (2, 5)
Midpoint: (-3+2/2, -5+5/2)(-1/2, 0)
Distance between two points formula:

1. Point 1 (-2, 2)Point 2 (4, -1)





2. Point 1 (1, 2)Point 2 (4, 7)

Answer 2

Midpoint formula:
$( \frac{x1 + x2}{2} \: \frac{y1 + y2}{2} )$
1. Point 1 (-2,2)
Point 2 (4,-1)

Midpoint: (-2+4/2, 2-1/2)
(2/2, 1/2)
(1, 1/2)

2. Point 1 (-3,-5)
Point 2 (2, 5)

Midpoint: (-3+2/2, -5+5/2)
(-1/2, 0)

Distance between two points formula:

$\sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$
1. Point 1 (-2, 2)
Point 2 (4, -1)

$\sqrt{(4 + 2) {}^{2} + ( - 1 - 2) {}^{2} }$
$\sqrt{6 {}^{2} + ( - 3) {}^{2} }$
$\sqrt{36 + 9}$
$\sqrt{45}$
$6.7$
2. Point 1 (1, 2)
Point 2 (4, 7)

$\sqrt{(4 - 1) {}^{2} + (7 - 2) {}^{2} }$
$\sqrt{3 {}^{2} + 5 {}^{2} }$
$\sqrt{9 + 25}$
$\sqrt{34}$
$5.8$