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Practice writing equations in slope-intercept form and finding equations of lines given the slope and points or given two points. Includes parallel and perpendicular lines.

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

  2. A.–22 mi/gal B.mi/gal C.mi/gal D.22 mi/gal Find the rate of change for the data. 5-Minute Check 1

  3. A.–7 B. C.7 D. Find the slope of the line that passes through points (2.3, 9.5) and (3.8, 20). 5-Minute Check 2

  4. Find the slope of the line that passes through points (3, 5) and (–6, 5). A. –1 B. 0 C. 1 D. 3 5-Minute Check 3

  5. A.–3 B. C. D.3 Determine the rate of change of the graph. 5-Minute Check 4

  6. A. 72 cm B. 108 cm C. 432 cm D. 648 cm 5-Minute Check 5

  7. Mathematical Practices 2 Reason abstractly and quantitatively. 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. MP

  8. 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

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

  10. Concept 1

  11. • • 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

  12. 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

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

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

  15. Concept 2

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

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

  18. A. B. C. D. Example 2

  19. A B C D Write an Equation Given Two Points 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

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

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

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

  23. Concept

  24. Write an Equation of a Parallel or 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

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

  26. A. B. C. D. Example 4

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