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Published byRodger Warner Modified over 5 years ago

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2.1 Lines and Slopes

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Example 1: Find the Slope

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Possibilities for a Line’s Slope

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Example 2: Find the Slope

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Solution

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Practice Exercise

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Answer

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Point-slope Form of the Equation of a Line

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Example 3: Writing the Point- Slope Equation of a Line

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Practice Exercise

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Answer

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Example 4: Writing the Point- Slope Equation of a Line

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Practice Exercises

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Answers to Practice Exercises

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The Slope-Intercept Form of the Equation of a Line Y-intercept is b Slope is m

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Graphing y=mx+b Using the Slope and y-Intercept. Plot the y-intercept on the y-axis. This is the point (0,b). Obtain a second point using the slope, m. Write m as a fraction, and use rise over run starting at the y-intercept to plot this point

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Graphing y=mx+b Using the Slope and y-Intercept. Use a straightedge to draw a line through the two points. Draw arrowheads at the ends of line to show that the line to show that the line continues indefinitely in both directions.

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Example 5: Graphing by Using the Slope and y-Intercept

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Practice Exercises

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Answers to Practice Exercises

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Equation of a Horizontal Line Y-intercept is 4

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Equation of a Vertical Line X-intercept is -5

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Example 6: Graphing a Horizontal Line Y-intercept is 5.

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Example 7: Graphing a Vertical Line X-intercept is –5.

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Practice Exercises

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Answers to Practice Exercises

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General Form of the Equation of a Line

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Equations of Lines

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Example 8: Finding the Slope and the y-Intercept

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Practice Exercises

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Answers to Practice Exercises

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