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Chapter 11: Q. 327 (page 1160)

In the following exercises, find the distance between the points and the midpoint of the line segment with the given endpoints.

Round to the nearest tenth as needed.

(鈭�4, 鈭�3) and (鈭�10, 鈭�11)

Short Answer

Expert verified

Midpoint is (-7,-7)

Distance between the points = 10 units

Step by step solution

01

Given Information 

Given end points are

(鈭�4, 鈭�3) and (鈭�10, 鈭�11)

02

Midpoint 

Find the midpoint between the endpoints using midpoint formula

(鈭�4,鈭�3)and(鈭�10,鈭�11)Midpointx2+x12,鈥�鈥�y2+y12Midpoint-10-42,鈥�鈥�-11-32Midpoint-7,鈥�-7

03

Distance

Now find the distance between the points using distance formula

鈭�4,鈥�鈭�3鈥�and鈥�鈭�10,鈥�鈭�11Distance=x2-x12+y2-y12Distance=-10--42+-11--32=10

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