Explanation The equation of a line passing through the point ( x 0 , y 0 ) and having slope m is: y − y 0 = m ( x − x 0 ) Given: Line in the plane through ( x 0 , y 0 ) of slope m Calculation: The equation of a line in a plane passing through the point ( x 0 , y 0 ) and having slope m is:

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Author: Rogawski

Publisher: MAC HIGHER

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Chapter 13.2, Problem 78E

To determine

We need to prove that the line in the plane through $(x_{0}, y_{0})$ of slope m has the symmetric equations:

$x - x_{0} = \frac{y - y_{0}}{m}$ .

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Chapter 13.2, Problem 77E

Chapter 13.2, Problem 79E

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Chapter 13 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

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We need to prove that the line in the plane through ( x 0 , y 0 ) of slope m has the symmetric equations: x − x 0 = y − y 0 m .

Solution Summary: The author proves that the line in the plane through ( x 0, y ) of slope m has the symmetric equations:

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We need to prove that the line in the plane through $(x_{0}, y_{0})$ of slope m has the symmetric equations:

$x - x_{0} = \frac{y - y_{0}}{m}$ .

Want to see the full answer?

Chapter 13 Solutions

We need to prove that the line in the plane through ( x 0 , y 0 ) of slope m has the symmetric equations: x − x 0 = y − y 0 m .

Solution Summary: The author proves that the line in the plane through ( x 0, y ) of slope m has the symmetric equations:

Concept explainers

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We need to prove that the line in the plane through (x0,y0) of slope m has the symmetric equations: x−x0=y−y0m.

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Chapter 13 Solutions

We need to prove that the line in the plane through $(x_{0}, y_{0})$ of slope m has the symmetric equations:

$x - x_{0} = \frac{y - y_{0}}{m}$ .