Answer: Line segments Find a parametric description of the

Chapter 8, Problem 33E

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QUESTION:

Find a parametric description of the line segment from the point P to the point Q. The solution is not unique.

P(-1, -3), Q(6, -16)

Questions & Answers

QUESTION:

Find a parametric description of the line segment from the point P to the point Q. The solution is not unique.

P(-1, -3), Q(6, -16)

ANSWER:

Solution 33E

Step 1:

In this problem we need to find a parametric description of the line segment from the point P(-1,-3) to the point Q(6,-16).

The parametric representation of a line : Given two points (x1, y1) and (x2, y2),the point   (x, y) is on the line determined by (x1, y1) and (x2, y2) if and only if there is a real number t such that and y = (1 - t)y1 + ty2

Here

Assume there is a real number such that and

Put in we get,

   

Put in  we get,

   

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