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1.3 Linear Equations in Two Variables. I. Using Slope.

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Presentation on theme: "1.3 Linear Equations in Two Variables. I. Using Slope."— Presentation transcript:

1 1.3 Linear Equations in Two Variables

2 I. Using Slope

3 Positive, negative, zero, or undefined?

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9 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)

10 Sketch a graph of the following:

11 III. Writing Linear Equations in Two Variables y – y 1 = m(x – x 1 ) Point-Slope Form

12 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).

13 Lines Vertical x = a Horizontal y = b

14 Example Equations of Lines

15 General Linear Equation Ax + By = C (A & B not both 0)

16 Example Analyzing and Graphing a General Linear Equation [-10, 10] by [-10, 10]

17 Parallel Lines Conclusion?

18 You might remember that perpendicular lines have OPPOSITE RECIPROCAL slopes. Perpendicular Lines

19 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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