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Published byMolly Harrell Modified over 8 years ago
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1.3 Linear Equations in Two Variables
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I. Using Slope
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Positive, negative, zero, or undefined?
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Find the slope of the line through each pair of points: A) (3, -7) and (-4, 2) B) (2, -9) and (-6, -9) C) (5, 4) and (5, -8)
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Sketch a graph of the following:
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III. Writing Linear Equations in Two Variables y – y 1 = m(x – x 1 ) Point-Slope Form
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Example: Point-Slope Equation Using Point-slope form, find the equation of the line in slope-intercept form for a line with a slope of 4 that passes through the point (-6, 2).
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Lines Vertical x = a Horizontal y = b
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Example Equations of Lines
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General Linear Equation Ax + By = C (A & B not both 0)
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Example Analyzing and Graphing a General Linear Equation [-10, 10] by [-10, 10]
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Parallel Lines Conclusion?
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You might remember that perpendicular lines have OPPOSITE RECIPROCAL slopes. Perpendicular Lines
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Find the general form of the equation of the line that passes through the point (1, -3) and is: a)Parallel to the given line 2x + 3y = 1 b)Perpendicular to the line 2x + 3y = 1
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