Question

For the point p and q​, find the distance​ d(p,q) and the coordinates of the midpoint m of the segment pq.

Answer 1

The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2

How to calculate the distance between two points and midpoint?

The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.

The formula for calculating the midpoint is expressed as:

$m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )$

Given the coordinate points p(-10, -8) and (-5, -3).

Calculate the midpoint of pq

$m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)$

Hence the midpoint of the coordinate pq is (-7.5, -5.5)

Determine the distance pq

pq = √(-3+8)²+(-5+10)²

pq = √(5)²+(5)²

pq = √50

pq = 5√2

Hence the distance between the point pq is 5√2

Learn more on midpoint and distance here: brainly.com/question/17498679