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Interpreting functions/ tables/graphs Slope-intercept form Standard

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Presentation on theme: "Interpreting functions/ tables/graphs Slope-intercept form Standard"— Presentation transcript:

1 Interpreting functions/ tables/graphs Slope-intercept form Standard forms X and Y intercepts Parallel and Perpendicular functions 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

2 Create a linear function for the following table
Weeks 2 4 6 8 Profit($) 100 200 300 400

3 y = 50x

4 Jess has been given a certain number of stamps
Jess has been given a certain number of stamps. He plans to collect a constant amount each month. Y = 4x + 20 Describe what 4 and 20 mean in the situation.

5 The 4 represents the number of stamps he will collect each month, and 20 represents how many stamps he was already given.

6 Describe what you would expect to see in the graph of equation
y = x – 30

7 The graph would have a y-intercept at -30 and a slope of 1, ( for each increase of 1 in x, y would increase by 1.)

8 Draw and label lines on a coordinate grid: a) positive slope b) negative slope c) slope of zero d) undefined slope

9 Increasing line Decreasing line Horizontal line Vertical line

10 Marc has a new job and earns $11 per hour, but has to pay a one time worker’s fee at school. Solve the equation 79 = 11x – 20 and explain the solution.

11 When he works 9 hours, he will earn $79 after the fee is deducted.
X = 9. When he works 9 hours, he will earn $79 after the fee is deducted.

12 Write an equation of the line containing the point (-2,6) and also contains the origin.

13 y = -3x or y = -3x +0

14 In the equation y = - 6 Determine the slope and y-intercept

15 Slope = ½ y-intercept: -6

16 Write a linear function for the following table
x y

17 Y = x or y = 7x – 6 or y = 7x + -6

18 A ladder is placed 5 feet from the base of a building
A ladder is placed 5 feet from the base of a building. The top of the ladder is 15 feet above ground on the side of the building. What is the slope of the ladder?

19 Slope of 15/3 or 5

20 Write an equation in slope-intercept form for the line containing the point (3,6) and a slope of 2

21 y = 2x + b 6 = 2·3 + b 6 = 6 + b b = 0 y = 2x

22 Jenny rents bikes. She charges $9 for adults and $5 for kids
Jenny rents bikes. She charges $9 for adults and $5 for kids. Write an equation in standard form that describes how many bikes can be rented for $100.

23 9x + 5y = 100 x: # adults y: # kids

24 What are the slope and y-intercept of the line 5x – 2y = 7

25 Slope of 5/2 (or 2.5) y- intercept of (0,-7/2)

26 Rewrite into standard form: y = 7x + 2

27 -7x +y = 2 or 7x – y = -2

28 Which equation has the same
slope as 4x – 3y = 8? a) y = x b) y = 2 – x

29 a) y = x

30 Graph the equation 2x – 3y = 8 by finding the intercepts.

31 Y- intercept (0, -8/3) x- intercept (4,0)

32 Given: y = 3x – 1 Find the y- intercept and x-intercept

33 y- intercept (0,-1) x-intercept: (1/3,0)

34 Given y = 2x Find the x-intercept and y-intercept

35 y-intercept: (0,0) x-intercept : (0,0)

36 Use intercepts to graph 7x – y = 3

37 y-intercept (0,-3) x-intercept: (3/7,0)

38 Find the x intercept and y intercept 3x – 2y = -6

39 y-intercept: (0,3) x-intercept: (-2,0)

40 If a line hits the x-axis at x = -2 and the y-axis at y = 3, write an equation in slope-intercept form.

41 (-2,0) and (0,3) Slope: 3/2 and y-intercept: 3 y = 3/2x + 3

42 Which line is parallel to y = -2x – 1 a) y = 2x + 7 b) y = -3 – 2x c) y = -1 + 1/2x d) y = 2x + 1

43 b) y = - 3 – 2x

44 A line perpendicular the 3x + 2y = 6 a) y = x + 2 b) y = x + 1 c) y = 4 + x

45 c) y = x

46 Graph y = 2/3x + 1. Then sketch a line perpendicular to that and write its equation.

47 y = -3/2x + ?

48 Graph y = 5x and graph a line parallel and write its equation.

49 Y = 5x + ?

50 Write an equation that would be parallel to y = 7

51 y = any constant They are all horizontal y= 6 y = -2


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