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Published byDerrick Conley Modified over 9 years ago
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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 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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M = 2/1 B = (0, -8)
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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
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M = -8/-2 = 4 Y = 4x + b 65 = 4(5) + b 45 = b Y = 4x + 45
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M = 2 Y = 2x + b 3 = 2(3) + b 3 = 6 + b B = -3 Y = 2x – 3
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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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A. Y int = (0, -4) X int = (4/3, 0) B. Y int = (0, 3) X int = (3/5, 0)
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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.
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A.* B. X = -3 Undefined SlopeY = 2 Zero Slope
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