Question

Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6).

Answer 1

`d=4√(5)`

Explanation:

Midpoint Formula:
`((x_1+x_2)/(2) ,(y_1+y_2)/(2) )`

Distance Formula:
`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Step 1: Find midpoint m

`m=((2+4)/(2) ,(4+6)/(2) )`

`m=((6)/(2) ,(10)/(2) )`

`m=(3 ,5 )`

Step 2: Find distance d

`d=√((3-(-1))^2+(5-(-3))^2)`

`d=√((3+1)^2+(5+3)^2)`

`d=√((4)^2+(8)^2)`

`d=√(16+64)`

`d=√(80)`

`d=4√(5)`