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Understanding the Slope-Intercept Form and Its Applications

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This section covers the essential concepts of the slope-intercept form of a line, focusing on the slope and y-intercept. It explains how the slope represents the rate of change and how the y-intercept is where the line crosses the y-axis. Using the example of drawing a line with a slope of 2 passing through the point (0, 3), we explore the components of the slope-intercept equation. We also encourage applying these concepts through exercises, including finding equations based on given parameters. Students are reminded to bring materials for a hands-on class activity.

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Understanding the Slope-Intercept Form and Its Applications

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  1. Chapter 3 Section 4 Slope-Intercept Form

  2. Slope and y-intercept • Recall the slope of a line is the rate at which it either climbs or descends. It is the ratio of the change-in-y over the change-in-x. • The y-intercept is the point where the graph crosses the y-axis. The x value is 0 here.

  3. The Slope-Intercept Equation

  4. Draw a line that has slope of 2 and passes through the point (0, 3).

  5. y y 3 x x Given Slope of 2 and Point (0,3) 0

  6. Any stinkingpoint on the line The y-int Slope Intercept Form y x

  7. The variables The y-interceptis (0, b) The slope Slope-Intercept Form

  8. Your TurnGive the slope and y-int of the following equations:

  9. Cost of Excavator For 1 Day 100 50 5 10 Hours Used

  10. What’s the Equation of the Given Line?

  11. What’s the Equation of the Given Line?

  12. Slope Formula Slope Intercept Form Line Formulas to Date

  13. Applications of Graphing

  14. Tomorrow’s Class • Be sure and bring graph paper and your straight edge. We will be working on an activity in class.

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