Slope and (x, y) InterceptDate: 02/19/99 at 09:47:48 From: Alison Willey Subject: Slope and (x, y) Intercept Our math teacher asked us to do a report on the following question: Does slope depend on (x, y) intercept or does (x, y) intercept depend on slope? I have no idea how to go about answering this question. Sincerely, Alison Willey Date: 02/19/99 at 10:17:39 From: Doctor Rob Subject: Re: Slope and (x, y) Intercept Here are some thoughts that might help. You are asked about the two following scenarios: 1. You are given the x- and y-intercepts of a line, and you want to find the slope. 2. You are given the slope of a line, and you want to find the x- and y-intercepts. In scenario 2, think of a whole family of lines with the same slope. They are parallel to each other. Each has a different pair of intercepts. In scenario 1, think of the intercept points. Remember that two distinct points determine a line. Can the two intercept points be the same point (that is, can they coincide)? What is the x-intercept of the line y = 0? What is the x-intercept of the lines y = 1? What is the y-intercept of the line x = 0? What is the y-intercept of the line x = 1? Are vertical lines allowed here, that is, ones with infinite slope? How about horizontal lines? - Doctor Rob, The Math Forum http://mathforum.org/dr.math/ |
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