PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Chapter P.4, Problem 55E
Solution

The value of a so that the given line segments AB and CD are parallel.

  a=9

Given:

The figure,

  PRECALCULUS:GRAPHICAL,...-NASTA ED., Chapter P.4, Problem 55E

Concept Used:

  • The slope-intercept form of a line is y=mx+b, where m is the slope of the line and b is the y -intercept of the line.
  • Slope of the line passing through the points x1,y1 and x2,y2 is given by m=y2−y1x2−x1
  • The slopes of parallel lines are equal.

Calculation:

In order to find the value of a for which the line segment AB and CD are parallel, find the slopes of the line segments AB and CD and equate them to simplify further as shown below

  Slope of AB=Slope of CD4−03−0=8−0a−343=8a−34a−3=3×84a−12=244a=36a=364a=9

Thus, the value of a for which the line segments AB and CD are parallel is a=9 .

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Chapter P.4, Problem 54E
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Chapter P.4, Problem 56E

Chapter P Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

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