Question

Find the midpoint of the segment with the following endpoints (2,-9) (-4,-4)

Answer 1

`~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -4 +2}{2}~~~ ,~~~ \cfrac{ -4 -9}{2} \right) \implies \left(\cfrac{ -2 }{2}~~~ ,~~~ \cfrac{ -13 }{2} \right)\implies \left(-1~~,~~-6(1)/(2) \right)`

Answer 2

the answer will be (-1, -6.5)

Explanation:

The midpoint formula is
`((x^1 + x^2)/(2) , (y^1 + y^2)/(2) )`

so you would do
`((2 - 4))/(2) , (-9-4)/(2) )` , the only reason it is subtracting is that a positive and a negative make a negative so you might as well subtract, either way, if you insert the equation by doing 2 + (-4) you will get the same thing

then you would just do the math and get your answer

Hope this helps :)