Midpoint formula:
[tex]( \frac{x1 + x2}{2} \: \frac{y1 + y2}{2} )[/tex]
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:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
1. Point 1 (-2, 2)
Point 2 (4, -1)
[tex] \sqrt{(4 + 2) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]
[tex] \sqrt{6 {}^{2} + ( - 3) {}^{2} } [/tex]
[tex] \sqrt{36 + 9} [/tex]
[tex] \sqrt{45} [/tex]
[tex]6.7[/tex]
2. Point 1 (1, 2)
Point 2 (4, 7)
[tex] \sqrt{(4 - 1) {}^{2} + (7 - 2) {}^{2} } [/tex]
[tex] \sqrt{3 {}^{2} + 5 {}^{2} } [/tex]
[tex] \sqrt{9 + 25} [/tex]
[tex] \sqrt{34} [/tex]
[tex]5.8[/tex]
