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Learn how to write equations in slope-intercept form, point-slope form, and deal with parallel and perpendicular lines. Practice standardized test examples. Understand key concepts and improve mathematical reasoning skills.

kennethfontenot
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  1. Five-Minute Check (over Lesson 2–3) CCSS Then/Now New Vocabulary Key Concept: Slope-Intercept Form Example 1: Write an Equation in Slope-Intercept Form Key Concept: Point-Slope Form Example 2: Write an Equation Given Slope and One Point Example 3: Standardized Test Example Key Concept: Parallel and Perpendicular Lines Example 4: Write an Equation of a Perpendicular Line Lesson Menu

  2. Content Standards A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Mathematical Practices 2 Reason abstractly and quantitatively. CCSS

  3. You determined slopes of lines. • Write an equation of a line given the slope and a point on the line. • Write an equation of a line parallel or perpendicular to a given line. Then/Now

  4. slope-intercept form • point-slope form • parallel • perpendicular Vocabulary

  5. Concept 1

  6. • • Write an Equation in Slope-Intercept Form Write an equation in slope-intercept form for the line. Step 1 Find the slope. Slope formula (x1, y1) = (–1, 4), (x2, y2) = (2, 3) Simplify. Example 1

  7. Slope-intercept form Simplify. The y-intercept is Write an Equation in Slope-Intercept Form Step 2 Use the slope and a point to find the y-intercept. Example 1

  8. Slope-intercept form Write an Equation in Slope-Intercept Form Step 3 Substitute the values into the slope-intercept equation. Example 1

  9. A. B. C. D. Write an equation in slope-intercept form for the line. Example 1

  10. Concept 2

  11. Point-slope form Simplify. Write an Equation Given Slope and One Point Example 2

  12. Subtract 2 from each side. Answer: Write an Equation Given Slope and One Point Example 2

  13. A. B. C. D. Example 2

  14. A B C D What is an equation of the line through (2, –3) and (–3, 7)? Read the Test Item You are given the coordinates of two points on the line. Example 3

  15. Slope formula (x1, y1) = (2, –3), (x2,y2) = (–3, 7) Simplify. Solve the Test Item Step 1 Find the slope of the line. The slope is –2. That eliminates choices B and C. Example 3

  16. Point-slope form m = –2; (x1, y1) = (2, –3) Simplify. Subtract 3 from each side. Step 2 Write an equation. Use either ordered pair for (x1, y1). Answer: D Example 3

  17. A. B. C. D. Which is an equation of the line that passes through (2, 5) and (–1, 3)? Example 3

  18. Concept

  19. Write an Equation of a Perpendicular Line Write an equation in slope-intercept form for the line that passes through (3, –2) and is perpendicular to the line whose equation is y = –5x + 1. Example 4

  20. Point-slope form Distributive Property Subtract 2 from each side. Answer: Write an Equation of a Perpendicular Line Example 4

  21. A. B. C. D. Example 4

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