Make sure you have the wksht completed from Friday!

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Make sure you have the wksht completed from Friday! Pre-Algebra 11-3 Using Slopes and Intercepts Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (-1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, -1) 4. (-3, 0) and (-1, 1) 1 2 - 1 5 7 2 1 2 Make sure you have the wksht completed from Friday!

use slopes and intercepts to graph linear equations

You can graph a linear equation easily by finding the x-intercept and the y-intercept. The x-intercept of a line is the value of x where the line crosses the x-axis (where y = 0). The y-intercept of a line is the value of y where the line crosses the y-axis (where x = 0).

In an equation written in slope-intercept form, y = mx + b, m is the slope and b is the y-intercept.

For an equation such as y = x – 6, write it as y = x + (–6) to read the y-intercept, –6. Helpful Hint

Additional Example 2A: Using Slope-Intercept Form to Find Slopes and y-intercepts Use the slope and y-intercept to graph. y-int = -2 slope = -3

Additional Example 2A: Using Slope-Intercept Form to Find Slopes and y-intercepts Use the slope and y-intercept to graph. y-int = 4 slope = ½

Additional Example 2A: Using Slope-Intercept Form to Find Slopes and y-intercepts Find the slope and y-intercept and then graph. A. y = 3 – 2x

Additional Example 2B: Using Slope-Intercept Form to Find Slopes and y-intercepts B. y = 3x - 5

Additional Example 2C: Using Slope-Intercept Form to Find Slopes and y-intercepts C. 3y = -4x + 9

Additional Example 2D: Using Slope-Intercept Form to Find Slopes and y-intercepts C. 12x - 3y = -15

Additional Example 2E: Using Slope-Intercept Form to Find Slopes and y-intercepts C. –y + 3x = 5

Additional Example 3: Entertainment Application A video club charges $8 to join, and $1.25 for each DVD that is rented. The linear equation y = 1.25x + 8 represents the amount of money y spent after renting x DVDs. Graph the equation by first identifying the slope and y-intercept.

Additional Example 3 Continued The slope of the line is 1.25, and the y-intercept is 8. The line crosses the y-axis at the point (0, 8) and moves up 1.25 units for every 1 unit it moves to the right.

Additional Example 4A: Writing Slope-Intercept Form Write the equation of the line that passes through (3, –4) and (–1, 4) in slope-intercept form.

Additional Example 4B: Writing Slope-Intercept Form Write the equation of the line that passes through (1, –4) and (–2, 2) in slope-intercept form.

Additional Example 5: Writing Slope-Intercept Form Find the slope and y-intercept. Then write an equation in slope-intercept form. x y –2 5 –1 3 1 x y –3 –8 –1 –2 1 4 3 10

Additional Example 6: Writing Slope-Intercept Form Find the slope and y-intercept. Then write an equation in slope-intercept form. x y 2 -2 4 -4