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Chapter 3 Section 5: Slope-Intercept Form

Chapter 3 Section 5: Slope-Intercept Form. In this section, we will… Identify the slope and the coordinate of the y -intercept of a linear equation Graph linear equations from slope-intercept form Determine if given linear functions are parallel, perpendicular or neither.

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Chapter 3 Section 5: Slope-Intercept Form

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  1. Chapter 3 Section 5: Slope-Intercept Form • In this section, we will… • Identify the slope and the coordinate of the y-intercept of a linear equation • Graph linear equations from slope-intercept form • Determine if given linear functions are parallel, perpendicular or neither

  2. The Slope-Intercept Form of a linear equation in two variables is any equation in the form: y = mx + b where m is the slope of the line and (0, b) is the coordinate of the y-intercept of the line. • What is the slope of the line? • What is the coordinate of the y-intercept of the line? • Write the equation of the line in slope-intercept form. 3.5 Identify the Slope and y-Intercept of a Line

  3. Example:For each equation in slope-intercept form, identify the slope and the coordinate of the y-intercept. slope: y-int: slope: y-int: slope: y-int: slope: y-int: 3.5 Identify the Slope and y-Intercept of a Line

  4. Example:Find the slope and the coordinate of the y-intercept of the given linear equation. Graph the equation using that information. slope: y-int: 3.5 Graph Linear Equations from Slope-Intercept Form

  5. Example:Find the slope and the coordinate of the y-intercept of the given linear equation. Graph the equation using that information. slope: y-int: 3.5 Graph Linear Equations from Slope-Intercept Form

  6. Example:Find the slope and the coordinate of the y-intercept of the given linear equation. Graph the equation using that information. slope: y-int: 3.5 Graph Linear Equations from Slope-Intercept Form

  7. Example:Find the slope and the coordinate of the y-intercept of the given linear equation. Graph the equation using that information. slope: y-int: 3.5 Graph Linear Equations from Slope-Intercept Form

  8. Example: Each semester, students enrolling at the local community college must pay tuition costs of $150 per credit as well as a $50 student service fee. • Write a linear equation that gives the total cost to be paid, y, by a student enrolling at the college and taking x credits; graph. • Use your answer to part a to find the cost for a student taking 12 credits. • Identify the rate of change. 3.5 Application

  9. Parallel lines never touch and have equal slopes (but different y-intercepts) Perpendicular lines meet at a 90 degree angle and have slopes that are negative reciprocals. 3.5 Parallel and Perpendicular Lines

  10. Example:A given line has a slope of • What is the slope of any line parallel to this line? • What is the slope of any line perpendicular to this line? • Example: One line passes through the points (–1, –2) and (1, 2); another line passes through the points (2, 3) and (0, 4). Are these lines parallel, perpendicular, or neither? 3.5 Parallel and Perpendicular Lines

  11. Examples:Determine if the graphs of the given lines will be parallel, perpendicular or neither? 3.5 Parallel and Perpendicular Lines

  12. Independent Practice You learn math by doing math. The best way to learn math is to practice, practice, practice. The assigned homework examples provide you with an opportunity to practice. Be sure to complete every assigned problem (or more if you need additional practice). Check your answers to the odd-numbered problems in the back of the text to see whether you have correctly solved each problem; rework all problems that are incorrect. Read pp. 263-267 Homework: pp. 267-271 #1-5 all, 7-13 odds, 15, 16, 17, 33-41 odds, 45-51 odds, 61, 63, 65, 71-77 odds, 81, 83, 86, 87 3.5 Slope-Intercept Form

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