 # 2.1 Lines and Slopes. Example 1: Find the Slope Possibilities for a Line’s Slope.

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2.1 Lines and Slopes

Example 1: Find the Slope

Possibilities for a Line’s Slope

Example 2: Find the Slope

Solution

Practice Exercise

Point-slope Form of the Equation of a Line

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

Practice Exercise

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

Practice Exercises

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

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

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.

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

Practice Exercises

Equation of a Horizontal Line Y-intercept is 4

Equation of a Vertical Line X-intercept is -5

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

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

Practice Exercises

General Form of the Equation of a Line

Equations of Lines

Example 8: Finding the Slope and the y-Intercept

Practice Exercises