Question

Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. Round the distance to the nearest tenth. P(−4, 1) and Q(0, 7) The midpoint is at M( , ). Question 2 The distance between the two points is about units.​

Answer 1

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5 exactly

The distance = 8.94

The distance = 8.9 To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.