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Objectives: Define and explain the components of the slope-intercept form of a linear equation. Use the slope-intercept form of a linear equation. Standards.

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Presentation on theme: "Objectives: Define and explain the components of the slope-intercept form of a linear equation. Use the slope-intercept form of a linear equation. Standards."— Presentation transcript:

1 Objectives: Define and explain the components of the slope-intercept form of a linear equation. Use the slope-intercept form of a linear equation. Standards Addressed: 2.8.8.G: Represent relationships with tables or graphs. 2.8.8.H: Graph a linear function from a rule or table.

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4  M = 2/1  B = (0, -8)

5  When you know 2 points on a line, you can determine the equation for that line. First, calculate the slope, m, by using the slope formula. Then calculate b by using the slope-intercept form and one of the points.  Recall from Lesson 5.2

6  M = -8/-2 = 4  Y = 4x + b  65 = 4(5) + b  45 = b  Y = 4x + 45

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8  M = 2  Y = 2x + b  3 = 2(3) + b  3 = 6 + b  B = -3  Y = 2x – 3

9  The slope-intercept form makes it very easy to find the y-intercept since it is given by b in the equation y = mx + b. You can also use this form to find the x-intercept, which is the x-coordinate of the point where the line crosses the x-axis.

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11  A.  Y int = (0, -4)  X int = (4/3, 0)  B.  Y int = (0, 3)  X int = (3/5, 0)

12  The equation of a horizontal line is y = b, where b is the y-intercept.  The equation of a vertical line is x = a, where a is the x-intercept.

13 A.* B. X = -3 Undefined SlopeY = 2 Zero Slope

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