Do Now (5 min) CODE YELLOW Goals for the Day:  Do Now  Define slope  Determine slope from graphs (interpreting)  Graph line given point and slope.

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Presentation transcript:

Do Now (5 min) CODE YELLOW

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? CODE YELLOW

What is slope? CODE YELLOW

CODE YELLOW (c) (3,1) and (-4,1) 4 Types of Slope: Negative Positive Zero Undefined (a) (-5,2) and (-5,7)

CODE YELLOW 4 Types of Slope: Negative Positive Zero Undefined #1 #2 #3 #4 (4,-3), (4,2) (5.33, 2.13), (-8.23, 9.4) (-1,-3), (5,-3)

CODE YELLOW #1 #2

CODE YELLOW #3 #4

CODE YELLOW #5 #6#7

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

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

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.

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 minute 1 sentence per minute 1.5 sentences per minute 2 sentences per minute

CODE GREEN Practice Problems: p. 96 #11-25 odd p. 97 #34, 37 Challenge: pg. 97 #48, 42, 38, 45

CODE GREEN 1) 2) 3)

2. What is the slope of ? 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 dollars) What is the slope of the line below?