Question

you are looking at a map that uses cartesian coordinates. Your school is exactly halfway between your house in your friends house. You live at (-2, 3) and the school is at (7, 10). What are the coordinates of where your friend lives?

Answer 1

Midpoint formula:

$x=\frac{x_1+x_2}{2};\space y=\frac{y_1+y_2}{2}.$

$(x,y)$ are the coordinates of the school;

$(x_1,y_1)$ are the coordinates of my home;

$(x_2,y_2)$ are the coordinates of my friend's house;

$x_2=2x-x_1=14+2=16;$

$y_2=2y-y_1=20-3=17;$

Answer:

My freand lives at $(16,17).$