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

Algebra IIAlgebra II

2.2: Find slope and rate of change2.2: Find slope and rate of change

HW: p.86 (4-8 even, 18-22 even)HW: p.86 (4-8 even, 18-22 even)

Quiz 2.1-2.3: Wednesday, 10/9Quiz 2.1-2.3: Wednesday, 10/9

Slope formulaSlope formula

2 1

2 1

riseslope =

run

y y y

x x x

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

1.) (0, 3), (4, 8)1.) (0, 3), (4, 8)

2.) (2, 1), (2, -4)2.) (2, 1), (2, -4)

3.) (-8, 1), (5, 1)3.) (-8, 1), (5, 1)


4.) 4.)


5.) 5.)

Parallel and Perpendicular Parallel and Perpendicular LinesLines

Parallel lines: same slope.Parallel lines: same slope.

Perpendicular lines: slopes are Perpendicular lines: slopes are negative reciprocals of each other.negative reciprocals of each other.

Determine if the two lines are parallel, Determine if the two lines are parallel, perpendicular, or neither.perpendicular, or neither.

1.) Line 1: (1, -4), (4, -2)1.) Line 1: (1, -4), (4, -2)

Line 2: (8, 1), (14, 5)Line 2: (8, 1), (14, 5)

Determine if the two lines are parallel, Determine if the two lines are parallel, perpendicular, or neither.perpendicular, or neither.

2.) Line 1: (1, 5), (3, -2)2.) Line 1: (1, 5), (3, -2)

Line 2: (-3, 2), (4, 0)Line 2: (-3, 2), (4, 0)

Algebra IIAlgebra II2.3: Graph equations of lines2.3: Graph equations of lines

HW: p.93 (10-18 even, 23)HW: p.93 (10-18 even, 23)

Graphing in Graphing in slope-intercept form.slope-intercept form.

y = mx + b; y = mx + b;

where m = slope and b = y-where m = slope and b = y-interceptintercept Plot b (point on y-axis)Plot b (point on y-axis) From y-intercept count using slope to From y-intercept count using slope to

plot additional points.plot additional points.

Graph y = 2xGraph y = 2x1.) 1.)

Graph y = x + 3Graph y = x + 32.) 2.)

Graph y = -2/3x – 1 Graph y = -2/3x – 1 3.) 3.)

Graph y = -5Graph y = -54.) 4.)

Graph x = 3Graph x = 35.) 5.)

Graph f(x) = 1 – 3xGraph f(x) = 1 – 3x6.) 6.)

Do Now: Determine if the two lines are Do Now: Determine if the two lines are parallel, perpendicular, or neither.parallel, perpendicular, or neither.

Line 1: (5, 8), (7, 2)Line 1: (5, 8), (7, 2)

Line 2: (-7, -2), (-4, -1)Line 2: (-7, -2), (-4, -1)

Graph 2y + 3x = 10Graph 2y + 3x = 107.) 7.)

Graph using the x and y-intercepts:Graph using the x and y-intercepts:x + 5y = -15x + 5y = -15

8.) 8.)

Graph using the x and y-intercepts:Graph using the x and y-intercepts:-6x + 8y = -36-6x + 8y = -36

9.) 9.)

Graph using the x and y-intercepts:Graph using the x and y-intercepts:2x – y = 102x – y = 10

10.) 10.)

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

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