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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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LESSON GOALS • Write the equation of a line in point-slope form using the slope of the line and a point on the line. • Write the equation of a line in point-slope form using two points on a line. • Graph the equation of a line that is in point-slope form. FLORIDA STANDARDS • MAFS.8.F.2.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. • LAFS.68.WHST.1.1e. Provide a concluding statement or section that follows from and supports the argument presented. • ELD.K12.ELL.MA.1 english language learners communicate information, ideas and concepts necessary for academic success in the content area of mathematics. PACING One class period, approximately 60 minutes CONTENT BACKGROUND Previously, students used the given slope and y-intercept of a line to write the equation of the line in slope-intercept form: y = mx + b. However, the y-intercept of a line may not always be given. In this lesson, students learn to write the equation of a line in point-slope form: y – y 1 = m(x – x 1 ), where m is the slope and x 1 and y 1 are the coordinates of a point. This form of an equation can be used when the slope and any point on the line are given, or when two points on the line are given. In the latter case, the two given points are used to find the slope. Then values for m, x 1 , and y 1 are substituted in the point-slope formula. It is important that students MATERIALS • Reference Guide pages 145−149 • Practice Activity Book pages 111–113 • Overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • coordinate • linear equation • slope Use this guide to accompany Lesson 4.02, Semester A. Point-Slope Form 194 POInT-SlOPe FORm

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