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Slope Equations Parallel Perpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Final Jeopardy Jeopardy
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SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

Dec 18, 2015

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Page 1: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

Slope Equations Parallel Perpendicular Graphs

Q $100

Q $200

Q $300

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Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

Jeopardy

Page 2: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Question from Slope

Find the slope of a line between(-3,3) and (1,1) in simplest form

Jeopardy

Page 3: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Answer from Slope

12

Jeopardy

Page 4: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Question from H1

What is the slope of the blue line?

Jeopardy

Page 5: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Answer from Slope

3 or 31

Jeopardy

Page 6: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Question from Slope

What is the slope of the line whose equation is y = 4x-3?

Jeopardy

Page 7: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Answer from Slope

4 or 41

Jeopardy

Page 8: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Question from Slope

What is the slope of the line whose equation is -4x + 2y=12?

Jeopardy

Page 9: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Answer from Slope

24 2 12

2 4 12

2 6

x y

y x

y x

Jeopardy

Page 10: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Question from SlopeIf a line with a slope of 2/3 passes through (-9,1) and (3,y). Find the value of y.

Jeopardy

Page 11: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Answer from Slope

9

Jeopardy

Page 12: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Question from Equations of Lines

Write the equation of the line whose y-intercept is 3 and whose slope is ½.

Jeopardy

Page 13: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Answer from Equations of Lines

13

2y x

Jeopardy

Page 14: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Question from Equations of Lines

Write an equation of a line parallel toy=3x-2 that has a y-intercept of 5.

Jeopardy

Page 15: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Answer from Equations of Lines

y = 3x + 5

The line must have a slope of 3 because the lines are parallel. b = 5 because that is the y-intercept.

Jeopardy

Page 16: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Question from Equations of Lines

Write an equation of a line that isperpendicular to y = 2x and has ay-intercept of 2.

Jeopardy

Page 17: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Answer from Equations of Lines

12

2y x

If the first line has a slope of 2, then the perpendicular line has a slope of -1/2. b=2

Jeopardy

Page 18: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Question from Equations of Lines

What is the name of this form for a straight line?

y = mx + b

Jeopardy

Page 19: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Answer from Equations of Lines

Slope-intercept form

Jeopardy

Page 20: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Question from Equations of Lines

Change this equation to slope-interceptform: 6x – 3y = 18.

Jeopardy

Page 21: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Answer from Equations of Lines

6 3 18

3 6 18

2 3

x y

y x

y x

Jeopardy

Page 22: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Question from Parallel Lines

If lines are parallel, what do you knowabout their slopes?

Jeopardy

Page 23: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Answer from Parallel Lines

They are equal or they have the same slope.

Jeopardy

Page 24: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Question from Parallel Lines

A line passes through (-3,-1) and (5,3).What is the slope of a parallel line that passes through (0,-3)?

Jeopardy

Page 25: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Answer from Parallel Lines

12

Jeopardy

Page 26: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Question from Parallel Lines

Write the equation of a line parallel to that has

a y intercept of -2.

25

3y x

Jeopardy

Page 27: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Answer from Parallel Lines

The lines must have equal slopes.

22

3y x

Jeopardy

Page 28: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Question from Parallel Lines

Write the equation for aline passing through(0,6) that is parallel to the blue line.

Jeopardy

Page 29: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Answer from Parallel Lines

y = -2x + 6

Lines are parallel soslopes are equal.

Jeopardy

Page 30: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Question from Parallel Lines

Jeopardy

What is the equation of a line parallel to

that passes through (2,8)?

13

2y x

Page 31: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Answer from Parallel Lines

Jeopardy

17

2y x

Page 32: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Question from Perpendicular Lines

If the slope of one line is +2/3, whatis the slope of the line perpendicular tothis line?

Jeopardy

Page 33: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Answer from Perpendicular Lines

32

Jeopardy

Page 34: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Question from Perpendicular Lines

Find the slope of a line perpendicularto 6x – 2y=12.

Jeopardy

Page 35: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Answer from Perpendicular Lines

The given line has a slope of 3 sothe perpendicular line has a slope of-1/3.

6 2 12

2 6 12

3 6

x y

y x

y x

Jeopardy

Page 36: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Question from Perpendicular Lines

A line drawn perpendicular to the red line will have what slope?

Jeopardy

Page 37: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Answer from Perpendicular Lines

The slope of the red line is -3, so the slope of the blue line is 1/3.

Jeopardy

Page 38: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Question from Perpendicular Lines

If two lines are perpendicular, howdo their slopes compare?

Jeopardy

Page 39: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Answer from Perpendicular Lines

One slope is positive and one is negative.The fraction for the slope is flipped.

2 33 2and

Jeopardy

Page 40: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Question from Perpendicular Lines

Change the red number so the two lines are perpendicular.

2 12y x 3 1y x

Jeopardy

Page 41: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Answer from Perpendicular Lines

2 12y x 12

1y x Jeopardy

Page 42: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Question from Graphs

Which line has positive slope? Red or Green? Find its slope.

Jeopardy

Page 43: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$100 Answer from GraphsRed line since it is going up.

Slope = 1/4

Jeopardy

Page 44: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Question from Graphs

What is the slope of this line in simplest form?

Jeopardy

Page 45: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$200 Answer from Graphs

1/3

Jeopardy

Page 46: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Question from Graphs

Write the equation for this line in slope-intercept form.

Jeopardy

Page 47: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$300 Answer from Graphs

11

3y x

Jeopardy

Page 48: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Question from Graphs

A line is drawn through (0,4) thatis parallel to the blue line. What is its equation?

Jeopardy

Page 49: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$400 Answer from Graphs

The lines have equal slope, but differenty-intercepts.

14

3y x

Jeopardy

Page 50: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Question from Graphs

A line is drawn through (0,4) thatis perpendicular to the blue line. What is its equation?

Jeopardy

Page 51: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

$500 Answer from Graphs

The slopes are opposite signs and the flipped over. Slope of blue line: 1/3. Slope of green line: -3

3 1y x

Jeopardy

Page 52: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

Final JeopardyA salesperson earns $50 a day plus $15 for every hour she works. How long will it take her to make $170? You can use S for her salary and H for the number of hours she works.

Hours Salary

0

1

2

3Jeopardy

Page 53: SlopeEquationsParallelPerpendicular Graphs Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Jeopardy.

Final Jeopardy Answer

8 hoursHours Salary

0 50

1 65=50+15

2 80=50+15+15

3 95=50+15+15+15

4 110=50+15+15+15+15

5 125=15+5(15)

6 140=15+6(15)

7 155=15+7(15)

8 170=15+8(15)

H 50+H(15)

50 15

170 50 15

120 15

8

S H

H

H

H

Jeopardy