Question

FIND MIDPOINT- Your school is 20 blocks east and 12 blockssouth of your house. The mall is 10 blocks northand 7 blocks west of your house. You areplanning on meeting your friend halfwaybetween school and the mall. Where would youmeet your friend?

Answer 1

we can locate each place on a grid

south(up)

North(Down)

East(right)

West(left)

now we write the points of the mall and school

$\begin{gathered} S(20,-12) \\ M(-7,10) \end{gathered}$

now we can use the formula of the mid point to find it

$(\frac{x1+x2}{2},\frac{y1+y2}{2})$

replace the points of the school and mall

$(\frac{20+(-7)}{2},\frac{-12+(10)}{2})$

simplify

$\begin{gathered} (\frac{20-7}{2},\frac{-12+10}{2}) \\ \\ M(6.5,-1) \end{gathered}$

The midpoint is (6.5 , -1) then I meet my friend 6.5 blocks east and 1 block south of my house