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Published bySharon Dennis Modified over 8 years ago
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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
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Create a linear function for the following table
Weeks 2 4 6 8 Profit($) 100 200 300 400
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y = 50x
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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.
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The 4 represents the number of stamps he will collect each month, and 20 represents how many stamps he was already given.
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Describe what you would expect to see in the graph of equation
y = x – 30
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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.)
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Draw and label lines on a coordinate grid: a) positive slope b) negative slope c) slope of zero d) undefined slope
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Increasing line Decreasing line Horizontal line Vertical line
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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.
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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.
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Write an equation of the line containing the point (-2,6) and also contains the origin.
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y = -3x or y = -3x +0
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In the equation y = - 6 Determine the slope and y-intercept
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Slope = ½ y-intercept: -6
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Write a linear function for the following table
x y
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Y = x or y = 7x – 6 or y = 7x + -6
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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?
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Slope of 15/3 or 5
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Write an equation in slope-intercept form for the line containing the point (3,6) and a slope of 2
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y = 2x + b 6 = 2·3 + b 6 = 6 + b b = 0 y = 2x
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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.
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9x + 5y = 100 x: # adults y: # kids
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What are the slope and y-intercept of the line 5x – 2y = 7
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Slope of 5/2 (or 2.5) y- intercept of (0,-7/2)
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Rewrite into standard form: y = 7x + 2
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-7x +y = 2 or 7x – y = -2
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Which equation has the same
slope as 4x – 3y = 8? a) y = x b) y = 2 – x
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a) y = x
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Graph the equation 2x – 3y = 8 by finding the intercepts.
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Y- intercept (0, -8/3) x- intercept (4,0)
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Given: y = 3x – 1 Find the y- intercept and x-intercept
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y- intercept (0,-1) x-intercept: (1/3,0)
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Given y = 2x Find the x-intercept and y-intercept
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y-intercept: (0,0) x-intercept : (0,0)
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Use intercepts to graph 7x – y = 3
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y-intercept (0,-3) x-intercept: (3/7,0)
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Find the x intercept and y intercept 3x – 2y = -6
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y-intercept: (0,3) x-intercept: (-2,0)
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If a line hits the x-axis at x = -2 and the y-axis at y = 3, write an equation in slope-intercept form.
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(-2,0) and (0,3) Slope: 3/2 and y-intercept: 3 y = 3/2x + 3
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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
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b) y = - 3 – 2x
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A line perpendicular the 3x + 2y = 6 a) y = x + 2 b) y = x + 1 c) y = 4 + x
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c) y = x
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Graph y = 2/3x + 1. Then sketch a line perpendicular to that and write its equation.
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y = -3/2x + ?
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Graph y = 5x and graph a line parallel and write its equation.
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Y = 5x + ?
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Write an equation that would be parallel to y = 7
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y = any constant They are all horizontal y= 6 y = -2
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