2. Welcome to Interactive Chalkboard Algebra 1 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 5-1Slope Lesson 5-2Slope and Direct Variation Lesson 5-3Slope-Intercept Form Lesson 5-4Writing Equations in Slope-Intercept Form Lesson 5-5Writing Equations in Point-Slope Form Lesson 5-6Geometry: Parallel and Perpendicular Lines Lesson 5-7Statistics: Scatter Plots and Lines of Fit

5. Lesson 5 Contents Example 1Write an Equation Given Slope and a Point Example 2Write an Equation of a Horizontal Line Example 3Write an Equation in Standard Form Example 4Write an Equation in Slope-Intercept Form Example 5Write an Equation in Point-Slope Form

6. Example 5-1a Write the point-slope form of an equation for a line that passes through (–2, 0) with slope Point-slope form Simplify. Answer:The equation is

7. Example 5-1b Write the point-slope form of an equation for a line that passes through (4, –3) with slope –2. Answer:

8. Example 5-2a Write the point-slope form of an equation for a horizontal line that passes through (0, 5). Point-slope form Simplify. Answer:The equation is

9. Example 5-2b Write the point-slope form of an equation for a horizontal line that passes through (–3, –4). Answer:

10. Example 5-3a Writein standard form. In standard form, the variables are on the left side of the equation. A, B, and C are all integers. Original equation Multiply each side by 4 to eliminate the fraction. Distributive Property

11. Example 5-3b Subtract 3x from each side. Simplify. Answer:The standard form of the equation is

12. Example 5-3c Writein standard form. Answer:

13. Example 5-4a Writein slope-intercept form. In slope-intercept form, y is on the left side of the equation. The constant and x are on the right side. Original equationDistributive Property Add 5 to each side.

14. Example 5-4b Simplify. Answer:The slope-intercept form of the equation is

15. Example 5-4c Writein slope-intercept form. Answer:

16. Example 5-5a The figure shows trapezoid ABCD with basesand Write the point-slope form of the lines containing the bases of the trapezoid.

17. Example 5-5b Step 1First find the slopes of and Slope formula

18. Example 5-5c Step 2You can use either point for ( x 1, y 1 ) in the point-slope form. Method 1 Use (–2, 3). Method 2 Use (4, 3).

19. Example 5-5d Method 1 Use (1, –2). Method 2 Use (6, –2). Answer:The point-slope form of the equation containing The point-slope form of the equation containing

20. Example 5-5e Write each equation in standard form. Original equation Add 3 to each side. Answer: Simplify. Original equation Subtract 2 from each side. Answer: Simplify.

21. Example 5-5f The figure shows right triangle ABC. a.Write the point-slope form of the line containing the hypotenuse b.Write the equation in standard form. Answer:

22. End of Lesson 5

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