1 / 15

Mastering Mixed Equations and Graphing Lines: A Comprehensive Review Guide

This guide covers solving various types of linear equations and understanding the slope-intercept form of a line. Through a series of warm-up exercises, you will learn to solve equations like X + 6 = 14 and understand the relationship between slopes and parallel lines. With practical examples and practice problems, this resource aims to reinforce your skills in graphing lines and recognizing parallelism. Ideal for students looking to strengthen their understanding of linear equations and graphing concepts.

aletha
Télécharger la présentation

Mastering Mixed Equations and Graphing Lines: A Comprehensive Review Guide

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. WARM UP 5 Minutes Remain a 4 1 3 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  2. WARM UP 4 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  3. WARM UP 3 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  4. WARM UP 2 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  5. WARM UP 1 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  6. WARM UP 0 1 3 a 4 MIXED REVIEW (solve the equation) X + 6 = 14 9 – y = 4 7b = 21 = 3 3x – 12 = 6 h – 2 = 1

  7. 4.7 Graphing Lines Using Slope-Intercept Form SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. y = mx + b y-intercept slope

  8. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4 1 Rewrite each equation in slope-intercept form. Line a: y = ½x + 3 line b: y = ½x - 1line c: y = -½x + 2

  9. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4 2 Identify the slope of each equation. Line a: slope is ½ line b: slope is ½line c: slope is -½

  10. 4.7 Graphing Lines Using Slope-Intercept Form EXAMPLE 3Identify Parallel Lines Which of the following lines are parallel? Line a: -x + 2y = 6 line b: -x + 2y = -2 line c: x + 2y = 4 3 Compare the slopes. Lines aand bare parallel because each has a slope of ½. Line cis not parallel to either of the other two lines because it has a slope of -½.

  11. CHECK √The graph gives you a visual check.

  12. 4.7 Graphing Lines Using Slope-Intercept Form Practice: Are the following lines parallel? line a: 3x + 2y = 6 line b: 6x +4y = 6 Sí, paralelo! Tu’ estascertificada! < arquitecto abogado >

  13. PARALLEL LINES Determine whether the graphs of the tow equations are parallel. Graph the lines and explain your answer. Line a: y = -3x + 2 Line b: y + 3x = -4 Line a: 2x – 12 = y Line b: y = 10 + 2x Line a: y = x + 8 Line b: x – y = -1 Line a: 2x – 5y = -3 Line b: 5x + 2y = 6 Line a: y + 6x = 8 Line b: 2y = 12x – 4 Line a: 3y – 4x = 3 Line b: 3y = -4x + 9

  14. GRAPH THESE LINES Put the equation in slope intercept form (y = mx + b) and graph. Y = 2x + 4 Y = - x -2 Y = - + 3 Y = x - 4 -x + y = 5 y – 3x = -3 1 2 3 4 4 3

More Related