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Algebra II w/ trig

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Slope(m) is the ratio change in a vertical direction to the corresponding change in the horizontal direction. m = Where (x 1 x 2 )

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Type of Slope Description of Graph Sketch 1. PositiveThe line rises to the right. 2. ZeroThe line is horizontal. 3. NegativeThe line falls to the right. 4. UndefinedThe line is vertical. Special types of lines: Parallel lines have the same slope. Perpendicular lines have opposite reciprocal slopes.

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I. Find the slope given two ordered pairs and graph. A. (1, 3) and (-2, -3) B. (2, 3) and (-1, 5)

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II. Graph 1. has slope of -3/4 and passing through (1, -3)

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2. has slope of -3 and passing through (2, 5)

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III. Tell whether the lines are parallel, perpendicular, or neither. A. Line 1: (-3, 3) and (3, -1) Line 2: (-2, -3) and (2, 3) B. Line 1: (5,-10) and (6, 5) Line 2: (3, 4) and (-5,-4)

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Slope Intercept Form of a Linear Equation: y = mx + b, where m is the slope and b is the y intercept (0, b). This is a quick way to graph equation. Graphing equations in slope intercept form: 1. solve for y 2. find y-intercept 3. use slope 4. draw line through points

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I. Graph A. B. 2x + 3y = 12

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C. x = -3D. y = -4

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E. Graph the line through (2, 3) that is parallel to the line with the equation 3x + y = 6

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F. Graph the line through (2, 1) that is perpendicular to the line with the equation 2x – 3y = 3

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II. Write an equation in slope-intercept form for each graph. A.

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B.

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C.

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2. (-2, 8), (-2, 1)3. x-int: 3; y-int: 2

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2. contains (4, -3) and is parallel to graph 3x + 4y = 8

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3. contains (-4, -3) and is perpendicular to y = 4x + 5

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4. contains (-2, 4) and is perpendicular to x – 6y = 15

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