Question

What is the midpoint and distance between points P(3,5) and Q(7,5)

Answer 1

The formula of a midpoint:

`M\left((x_1+x_2)/(2);\ (y_1+y_2)/(2)\right)`

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points P(3, 5) and Q(7, 5). Substitute:

`x=(3+7)/(2)=(10)/(2)=5\\\\y=(5+5)/(2)=(10)/(2)=5`

M(5, 5)

`d=√((5-5)^2+(7-3)^2)=√(0^2+4^2)=√(4^2)=4`

Answer:

Midpoint = (5, 5)

Distance = 4