Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Chapter P, Problem 36RE
Solution

Check which line has the greater slope.

The slope of the line in figure (b) is greater.

Given information:

Given figure is:

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P, Problem 36RE

Formula used:

The slope of a line passing through two points, x1,y1, and x2,y2 , is given by:

  m=y2−y1x2−x1

Calculation:

To find which line has the greater slope, fin the slope of each line in given figure using the formula for the slope of a line passing through two points x1,y1, and x2,y2 , that is

  m=y2−y1x2−x1

For line in figure (a), according to the given figure the line passes through the origin, i.e. (0,0) and also through the end point, that is according to the given dimension of the graph is (6, 4), and −6,−4 , as the given graph has the range of x -axis of -6 to 6, and of y -axis as -4 to 4.

Thus, taking two points through which the line is passing through, as (0,0), and (6, 4) find the slope as:

  m=4−06−0=46=23≈0.667

Thus the slope of the line in figure a is 0.667 .

Now similarly, in figure (b), according to the given figure the line passes through the origin, i.e. (0,0) and also through the end point, that is according to the given dimension of the graph is (15, 12), and −15,−12 , as the given graph has the range of x -axis of -15 to 15, and of y -axis as -12 to 12.

Thus, taking two points through which the line is passing through, as (0,0), and (15, 12) find the slope as:

  m=12−015−0=1215=45=0.8

Thus the slope of the line in figure (b) is 0.8 .

Thus, the slope of the line in figure (b) is greater.

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Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

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