Introductory and Intermediate Algebra for College Students (5th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
5th Edition
ISBN: 9780134178141
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 3, Problem 1MCP

a)

To determine

The x -intercept of the given graph.

a)

Expert Solution
Check Mark

Answer to Problem 1MCP

Solution:

The x -intercept is 4.

Explanation of Solution

Given:

The graph of the line.

Introductory and Intermediate Algebra for College Students (5th Edition), Chapter 3, Problem 1MCP , additional homework tip 1

Concept used:

To find the  x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.

Calculation:

From the given graph, we observe that the line is intersecting x - axis at x=4 . Therefore, the x- intercept of the line is at (4, 0) .

Conclusion:

Therefore, the x -intercept of the graph is 4.

b)

To determine

The y -intercept in the graph given below.

b)

Expert Solution
Check Mark

Answer to Problem 1MCP

Solution:

y -intercept is 2.

Explanation of Solution

Given:

The graph of the line.

Introductory and Intermediate Algebra for College Students (5th Edition), Chapter 3, Problem 1MCP , additional homework tip 2

Concept used:

To find the  x -intercept of a given line on a graph, the point where the line is intersecting the x - axis is the x -intercept and the point where the line is intersecting the y axis is the y -intercept.

Calculation:

The line is intersecting y - axis at 2, which makes it the y -intercept.

Conclusion:

Therefore, the y -intercept of the given line is 2.

c)

To determine

The slope of the line given in the graph.

Introductory and Intermediate Algebra for College Students (5th Edition), Chapter 3, Problem 1MCP , additional homework tip 3

c)

Expert Solution
Check Mark

Answer to Problem 1MCP

Solution:

The line’s slope is: −12

Explanation of Solution

Concept used:

Follow the below process for find the slope the given line:

Pick two points on the line and determine their coordinates.

Determine rise: the difference in y -coordinates of these two points.

Determine run: the difference in x -coordinates for these two points.

Divide the difference in y -coordinates by the difference in x -coordinates (rise/run or slope).

Calculation:

For slope, consider the two points (0,2) and (4, 0) on the graph.

Difference in y -coordinates for these two points (0,2) and (4, 0) : 2−0=2 .

Difference in x -coordinates for these two points (0,2) and (4, 0) : 0−4=−4 .

Now, divide the difference in y -coordinates by the difference in x -coordinates and get,

  2−00−4=−24=−12

Conclusion:

Therefore, the slope of the graph is −12 .

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Chapter 3 Solutions

Introductory and Intermediate Algebra for College Students (5th Edition)

Ch. 3.1 - Fill in the blank so that the resulting statement...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Prob. 3CAVCCh. 3.1 - Prob. 4CAVCCh. 3.1 - Prob. 5CAVCCh. 3.1 - Prob. 6CAVCCh. 3.1 - Prob. 7CAVCCh. 3.1 - Prob. 8CAVCCh. 3.1 - Plot the given point in a rectangular coordinate...Ch. 3.1 - Prob. 2ES
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Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY