Help distance and mid point

Question

1. Find the midpoint between the two points.
(–2, 5), (3, –4)

2. Find the distance between the two points.
(–4, –2), (2, 3)

Answer 1

1) Midpoint of two points =(x1+x2/2, y1+y2/2)

(-2,5) = (x1,y1)

(3,-4) = (x2,y2)

=((-2+3)/2, (5+4)/2)

= (1/2, 9/2)

= (0.5, 4.5)

2 ) Distance between two points = √(x2-x1)^2+(y2-y1)^2

Given points say(x1,y1) = (-4,-2)

(x2,y2) = (2,3)

= √(2+4)^2+(3+2)^2

= √(36+25)

= √61

Comments

1) Mid point between (-2, 5) (3, -4) = [(- 2 + 3)/2 , (5 - 4)/2 ] = (1/2, 1/2) = (0.5, 0.5)