# Brochures

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### Page 191 of 390

LESSON GOALS • Understand that an equation in a form y = mx represents the graph of a proportional relationship. • Graph a proportional relationship. • Find the equation of a line that intersects the origin using its graph. FLORIDA STANDARDS • MAFS.8.EE.2.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. PACING One class period, approximately 60 minutes CONTENT BACKGROUND Lessons 3.07, 3.08, and 3.09 work together to introduce students to linear equations in slope-intercept form. In these lessons, students extend their prior knowledge of equations to write the equation for and graph lines. In previous lessons, students have learned about proportional relationships and slope. In Lesson 3.07, they learn about simple linear graphs, which are the graphs of proportional relationships. Each linear function has an equation in the form y = mx and is graphed as a straight line through the origin. In Lesson 3.08, students extend their understanding of linear graphs to include graphs of lines that have y-intercepts that are not equal to 0. The equations for these graphs are in slope-intercept form, or y = mx + b, where m is the slope and b is the y-intercept. Students transform equations from standard form to slope-intercept form before graphing them. In Lesson 3.09, students work backwards and use a graph to write the equation of the line. MATERIALS • reference Guide pages 115–118 • practice Activity Book pages 84–89 • Overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • linear equation • origin • proportional relationship • slope Simple Linear Graphs Use this guide to accompany Lesson 3.07, Semester A. 156 SImpLe LIneAr Gr AphS

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