Question

Graph both points them find the midpoint and distance between each pair of points (-3, -9) and (5, -3)

Answer 1

d = 10 units
m = (1, -6)

Explanation:

We will use a graphing simulator in order to assist us with finding the answers to this question. Remember that the midpoint is the middle point between two points, also we can use the formula to calculate distance.

To calculate the distance use the formula:


`d=√((y2-x2)^2+(y1-x1)^2)`

`d=√((5--3)^2+(-3--9)^2)`
Solve:

`5--3=8\\-3--9=6\\√(8^2+6^2)`

Solve the exponents:

`8^2=64\\6^2=36\\64+36=100`

`√(100)`

`√(100)=10*10`
d = 10 units

To calculate the midpoint:

`m=((x1+x2)/(2) ,(y1+y2)/(2))`
Substitute and solve:

`m=((-3+5)/(2) ,(-9+-3)/(2))\\2/2=1\\-9+-3=-12\\-12/2=-6`
m = (1, -6)
(refer to the photo below)

The distance between the two points is 10 units and the midpoint of the given two points is (1, -6).

I hope this helps.