Distance A line with slope m passes through the point (0, 4). (a) Write the distance d between the line and the point (3, 1) as a function of m. (Hint: See Section P.2, Exercise 77.) (b) Use a graphing utility to graph the equation in part (a). (c) Find lim d(m) and lim d(m). Interpret the results m→-00 geometrically.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Distance A line with slope m passes through the point
(0, 4).
(a) Write the distance d between the line and the point (3, 1)
as a function of m. (Hint: See Section P.2, Exercise 77.)
(b) Use a graphing utility to graph the equation in part (a).
(c) Find lim d(m) and
lim d(m). Interpret the results
m→-00
geometrically.
Transcribed Image Text:Distance A line with slope m passes through the point (0, 4). (a) Write the distance d between the line and the point (3, 1) as a function of m. (Hint: See Section P.2, Exercise 77.) (b) Use a graphing utility to graph the equation in part (a). (c) Find lim d(m) and lim d(m). Interpret the results m→-00 geometrically.
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