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In 16, find the following for each pair of points: (a) The

Chapter 1, Problem 1

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QUESTION:

In Problem, find the following for each pair of points:

(a) The distance between the points

(b) The midpoint of the line segment connecting the points

(c) The slope of the line containing the points

(d) Interpret the slope found in part (c)

\((0,0) ;(4,2)\)

Questions & Answers

QUESTION:

In Problem, find the following for each pair of points:

(a) The distance between the points

(b) The midpoint of the line segment connecting the points

(c) The slope of the line containing the points

(d) Interpret the slope found in part (c)

\((0,0) ;(4,2)\)

ANSWER:

Step 1 of 4

(a) Distance between points the points:

The points are (0,0) and (4,2)

\(\begin{aligned}
d & =\sqrt{\left(x_{2}-x_{2}\right)^{2}+\left(y_{2}-y_{2}\right)^{2}} \\
d & =\sqrt{(4)^{2}-(2)^{2}} \\
d & =2 \sqrt{5}=4.47
\end{aligned}\)

The distance between the points is \(2 \sqrt{5}=4.47 m\)

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