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Chapter 13: Q. 10 (page 532)
Find the slope of the line through the points named. If the slope is not defined, write not defined.
(6, -6); (4, 3)
The slope of the line is.
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a. List twelve points, each with integer coordinates, that are 5 units from (-8, 1).
b. Find an equation of the circle containing these points.
Write an equation of the circle that has the given center and radius.
This exercise provides a geometric method of justifying the fact that you can use any two points on a line to determine the slope of the line. Horizontal and vertical segments have been drawn as shown. Supply the reason for each step.
Key steps of proof:
5. The slope of LN equals and the slope of DJ equals
6. Slope of LN equals to slope of DJ.
In Exercises 20 and 21 show that points P, Q, and R are collinear by showing that PQ and OR have the same slope.
P(-8, 6) Q(-5, 5) R(4, 2)
10. Find the distance between the points named. Give all answers in simplest
form.
3. (4, 4) and (-3, -3).
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