Explanation Formula: The slope m of a line can be calculated using: R i s e = m × R u n v e r t i c a l c h a n g e = m × h o r i z o n t a l c h a n g e Δ y = m × Δ x Calculation: Given : one line with vertical intercept 2, slope 3 and another with vertical intercept 4, slope 1. First line: Since, the vertical intercept is 2, it requires moving 2 units downwards from the vertical intercept 2 to meet the horizontal line or x-axis. Therefore, vertical change = - 2 The horizontal change is found as follow: v e r t i c a l c h a n g e = m × h o r i z o n t a l c h a n g e − 2 = 3 × h o r i z o n t a l c h a n g e − 2 3 = h o r i z o n t a l c h a n g e Since, the horizontal change is negative, it requires moving 2 3 units left from the origin to meet the horizontal intercept - 2 3 . Thus, the horizontal intercept is - 2 3 Second line: Since, the vertical intercept is 4, it requires moving 4 units downwards from the vertical intercept 4 to meet the horizontal line or x-axis

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN: 9781337111348

Author: Bruce Crauder, Benny Evans, Alan Noell

Publisher: Cengage Learning

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Chapter 3.1, Problem 6E

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The condition where the lines with different slopes meet or cross, if one line has its vertical intercept below the vertical intercept of another and on the same coordinate axes, draw one line with vertical intercept 2, slope 3 and another with vertical intercept 4, slope 1.

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Chapter 3.1, Problem 5E

Chapter 3.1, Problem 7E

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Chapter 3 Solutions

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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The condition where the lines with different slopes meet or cross, if one line has its vertical intercept below the vertical intercept of another and on the same coordinate axes, draw one line with vertical intercept 2, slope 3 and another with vertical intercept 4, slope 1.

Solution Summary: The author explains how the slope of a line can be calculated if the vertical intercept is below the horizontal intercept of another and on the same coordinate axes.

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To find: The condition where the lines with different slopes meet or cross, if one line has its vertical intercept below the vertical intercept of another and on the same coordinate axes, draw one line with vertical intercept 2, slope 3 and another with vertical intercept 4, slope 1.

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Chapter 3 Solutions

To find:

The condition where the lines with different slopes meet or cross, if one line has its vertical intercept below the vertical intercept of another and on the same coordinate axes, draw one line with vertical intercept 2, slope 3 and another with vertical intercept 4, slope 1.