On a map’s coordinate grid, Pantherville is located at (-3,2), and Heel City is located at (4,8). Falconton

Question

On a map’s coordinate grid, Pantherville is located at (-3,2), and Heel City is located at (4,8). Falconton is the midpoint between Pantherville and Heel City. What is the approximate distance from Pantherville to Falconton? (One map unit equals one mile.)

3.25 miles

4.61 miles

5.00 miles

9.22 miles

Answer 1

Distance formula: it's half the distance from (-3,2) to (4,8)

√( (4 - -3)^2 + (8-2)^2)

= √(49+36)

= √85 so find that then divide by 2 since the midpoint is halway there.