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Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, 18-22 even) Quiz 2.1-2.3: Wednesday, 10/9.

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Presentation on theme: "Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, 18-22 even) Quiz 2.1-2.3: Wednesday, 10/9."— Presentation transcript:

1 Algebra II 2.2: Find slope and rate of change HW: p.86 (4-8 even, 18-22 even) Quiz 2.1-2.3: Wednesday, 10/9

2 Slope formula

3 Find the slope of the line passing through the given points. 1.) (0, 3), (4, 8) 2.) (2, 1), (2, -4) 3.) (-8, 1), (5, 1)

4 Find the slope of the line passing through the given points. 4.)

5 5.)

6 Parallel and Perpendicular Lines Parallel lines: same slope. Parallel lines: same slope. Perpendicular lines: slopes are negative reciprocals of each other. Perpendicular lines: slopes are negative reciprocals of each other.

7 Determine if the two lines are parallel, perpendicular, or neither. 1.) Line 1: (1, -4), (4, -2) Line 2: (8, 1), (14, 5) Line 2: (8, 1), (14, 5)

8 Determine if the two lines are parallel, perpendicular, or neither. 2.) Line 1: (1, 5), (3, -2) Line 2: (-3, 2), (4, 0) Line 2: (-3, 2), (4, 0)

9 Algebra II 2.3: Graph equations of lines HW: p.93 (10-18 even, 23)

10 Graphing in slope-intercept form. y = mx + b; y = mx + b; where m = slope and b = y-intercept where m = slope and b = y-intercept Plot b (point on y-axis) Plot b (point on y-axis) From y-intercept count using slope to plot additional points. From y-intercept count using slope to plot additional points.

11 Graph y = 2x 1.)

12 Graph y = x + 3 2.)

13 Graph y = -2/3x – 1 3.)

14 Graph y = -5 4.)

15 Graph x = 3 5.)

16 Graph f(x) = 1 – 3x 6.)

17 Do Now: Determine if the two lines are parallel, perpendicular, or neither. Line 1: (5, 8), (7, 2) Line 2: (-7, -2), (-4, -1)

18 Graph 2y + 3x = 10 7.)

19 Graph using the x and y-intercepts: x + 5y = -15 8.)

20 Graph using the x and y-intercepts: -6x + 8y = -36 9.)

21 Graph using the x and y-intercepts: 2x – y = 10 10.)


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