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SLOPE – DAY 3 Goals for the Day: Do Now Define slope Determine slope from graphs (interpreting) Graph line given point and slope Slope formula (including horizontal and vertical) Identify graphs given the slope and a point

Describe the slope of the line in terms of data (recognizing rate of change)

Objective: write equations of lines, graph functions Essential Questions (write under Key Points):  How do I calculate slope?

How do I write an equation in slope-intercept, point slope and standard form?

How do I graph in slope-intercept and standard form?

Notes: Linear Functions (LG #2, 5 min)

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What is slope? CODE YELLOW

Notes: Calculating Slope given 2 points

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m riserun

y2 y1

x2 x1

7,2 and8,3)( d

b 3.24,0.13 and 2.01, 0.07 (c) (3,1) and (-4,1)

4 Types of Slope:NegativePositiveZeroUndefined(a) (-5,2) and (-5,7)

Notes: Calculating Slope given 2 points

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m riserun

y2 y1

x2 x1

4 Types of Slope:NegativePositiveZeroUndefined12. (5, 3), (–2, –4)

#1

#2

#3

#4

(4,-3), (4,2)(5.33, 2.13), (-8.23, 9.4)(-1,-3), (5,-3)

Notes: Determine Slope given a graph

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m riserun

y2 y1

x2 x1

5.

6.

#1 #2

Notes: Determine Slope given a graph

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m riserun

y2 y1

x2 x1

#3 #4

Notes: Determine Slope given a graph

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8.

#5 #6

m riserun

y2 y1

x2 x1

#7

CODE YELLOWIdentify the graph that has: A. A slope of 3/2 and a y-intercept of 1B. A slope of 0 and a y-intercept of 0C. A slope of ¼ and a y-intercept of -3I. II. III.

ANSWERS:A. IB. IIIC. II

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Identify the graph that has: A. A slope of 5 and a y-intercept of-2B. A slope of 1/3 and a y-intercept of 3C. A slope of 1 and a y-intercept of 0 I. II. III.

ANSWERS:A. IIIB. IIC. I

You try it now

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What are the units?

Describe the meaning of the slope for each graph.

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CODE YELLOWData WHAT?!

David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatter plot. He has drawn a line of best fit on the scatter plot, as shown below.

Which statement best expresses the meaning of the slope as a rate of change for this line of best fit? A. It represents the number of miles he will have to run to finish the marathon. B. It represents the average speed, in miles per hour, of his training runs. C. It represents the number of hours he will need to finish the marathon. D. It represents the distances, in miles, that he ran while he was training.

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Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected.

At what rate does Ryan write his composition?0.5 sentence per minute1 sentence per minute1.5 sentences per minute2 sentences per minute

Your Turn

Classwork: SlopeCODE GREEN

m riserun

y2 y1

x2 x1

Practice Problems: p. 96 #11-25 odd p. 97 #34, 37

Challenge: pg. 97 #48, 42, 38, 45

For each graph, describe the slope as a rate of change using words.

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1) 2) 3)

Exit Ticket #3

2. What is the slope of ?

QV

1. What is the slope of the line that contains the points (1,-1) and (-2,8)?

4. Nayra has started her own tutoring business in order to earn extra money to buy a camera. The graph to the right represents Nayra’s tutoring fees. What does the slope of the line represent?

Time (in hours)

Fee

(in

dol

lars

)

10203040

0 1 2 3 4

3. What is the slope of the line below?