5.2: Linear Equations in Point-Slope Form Created by: CK-12 Algebra I Teacher's Edition TE Writing Linear Equations Edit Review Was this helpful? Submit Review Skip Review Cancel Read Resources Details Learning Objectives At the end of this lesson, students will be able to: Write an equation in point-slope form. Graph an equation in point-slope form. Write a linear function in point-slope form. Solve real-world problems using linear models in point-slope form. Vocabulary Terms introduced in this lesson: point-slope form Teaching Strategies and Tips Students learn to write linear equations in point-slope form given: The slope and any one point on the line (possibly the intercept). See Examples 1, 2, and 8. Any two points on the line ( is not given). See Examples 3 and 7. An equation in point-slope form: Uses subscripts on and to designate the fixed, given point. and assume any other points on the line. Is not solved for . Suggest that students generate other values of by solving for first. Can be used to graph the line without having to rewrite the equation in slope-intercept form because a slope and a point determine a unique line. See Example 5. Use Example 3 to show that any point on the line can be substituted for . Point-slope equations will simplify to the same slope-intercept equation regardless of the chosen point. Use Example 6 to introduce function notation for equations in point-slope form. Remind students that is equivalent to the ordered pair in . “Flat fees”, initial amounts, starting times, etc. correspond to the intercept along the vertical axis. Error Troubleshooting In Example 7, have students determine the independent and dependent variables first. This helps them form correct ordered pairs. Image Attributions Description No description available here... Authors: CK12 Editor Tags: Activities Answer Key Answers (48 more) Assessment circumference CK.MAT.ENG.TE.1.Algebra-I.5 Common Misconceptions Concept Check and Troubleshooting dependent variable diameter Differentiated Instruction Enrichment extrapolate family of lines finding equations for lines Inquiry Process interpolate line of best fit linear equations linear functions linear regression measurement error negative reciprocal outliers Pacing Parallel Lines perpendicular lines point slope form point-slope form Problem Sets problem solving Quizzes reciprocal scatter plot Science Inquiry slope slope formula slope-intercept form Solution Key Solutions standard form Survey Teacher Edition Teaching Strategies Teaching Strategies and Tips Testing Tests vertical shift Worksheets x-intercept y-intercept Categories: mathematics Algebra Grades: 9 , 10 Date Created: Feb 22, 2012 Last Modified: Nov 15, 2012 You can only attach files to None which belong to you If you would like to associate files with this None, please make a copy first.