
Concept explainers
In Problems 1-4, 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) Then interpret the slope found in part (c).
;

To find:
1. The distance between the points .
2. The midpoint of the line segment joining the points.
3. The slope of the line containing the points.
4. The interpretation of the slope.
Answer to Problem 1RE
Explanation of Solution
Given:
The points
Formula used:
Distance formula:
Calculation:
1. Let and .
2. Midpoint of the line segment joining the points A and B:
3. Slope of the line containing the points A and B is
Divide the numerator and denominator by 2.
4. The slope means for every horizontal movement of 2 units to the right, there will be vertical (rise) movement of 1 unit.
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