Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 1b – Linear Equations Mini-Lesson Special Linear Equations The following media problem will introduce you to two special types of linear equations: horizontal and vertical lines. Problem 7 MEDIA EXAMPLE – GRAPHING HORIZONTAL/VERTICAL LINES a) Use the grid below to graph the equation y = -2. Identify the slope and y-intercept. b) Use the grid below to graph the equations x = 5. Identify the slope and y-intercept. Equations of Vertical Lines equation: x = a x-intercept: (a, 0) y-intercept: none slope: m is undefined Equations of Horizontal Lines equation: y = b x-intercept: none y-intercept: (0, b) slope: m = 0 Scottsdale Community College Page 34 Intermediate Algebra
Lesson 1b – Linear Equations Mini-Lesson Writing Equations of Lines Critical to a thorough understanding of linear equations is the ability to write the equation of a line given different pieces of information. The following process will work for almost every situation you are presented with and will be illustrated several times in the media problems to follow. Step 1: Determine the value of the slope, m. Step 2: Determine the coordinates of one ordered pair. Step 3: Plug the values for the ordered pair, and the value for the slope, into y = mx + b Step 4: Solve for b Step 5: Use the values for m and b to write the resulting equation in y = mx + b form. Problem 8 MEDIA EXAMPLE – WRITING EQUATIONS OF LINES For each of the following, find the equation of the line that meets the following criteria: a) Slope m = -4 passing through the point (0, 3). b) Passing through the points (0, -2) and (1, 5) c) Passing through the points (-2, -3) and (4, -9) d) Parallel to y = 3x – 7 and passing through (2, -5) e) Passing through (2, 4) with an x-intercept of -2. f) Vertical line passing through (-3, 5). g) Horizontal line passing through (-3, 5). Scottsdale Community College Page 35 Intermediate Algebra
Page 1 and 2: Scottsdale Community College Interm
Page 3 and 4: Table of Contents Lesson 1a - Intro
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Lesson 2b - Functions and Function
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Appendix A: You Try Answers Lesson
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Intermediate Algebra – Student Workbook – Second Edition 2013

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