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Warm-up A clothes designer manufacturers 108 pairs of shorts every 9 minutes. What is the slope of the line and what does it represent? Write the equation of the line give the two points on the line. (-1, 4) and (2, -2)
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Warm-up (ANSWERS) A clothes designer manufacturers 108 pairs of shorts every 9 minutes. What is the slope of the line and what does it represent? 12/1 explanation: 12 pairs of shorts per 1 minute Write the equation of the line give the two points on the line. (-1, 4) and (2, -2) y = -2x + 2
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Slope Pick a Ride 20,000 Leagues Under the Sea Big Thunder
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Pick the ride you are most comfortable with…
Pick a Ride Pick the ride you are most comfortable with… “20,000 Leagues Under the Sea” Feeling like you’re underwater? This is the ride for you!
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Pick the ride you are most comfortable with…
Pick a Ride Pick the ride you are most comfortable with… “Big Thunder” Ready for a little more challenge? This is the ride for you!
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Pick a Ride … undefined/no slope positive Identify the type of slope.
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Pick a Ride … negative zero Identify the type of slope.
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Pick a Ride … zero undefined Identify the type of slope.
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Positive, negative, zero, & undefined.
Pick a Ride … Name the 4 types of slope. Define slope. Positive, negative, zero, & undefined. Steepness of a line.
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Pick a Ride … undefined zero A vertical line has this type of slope.
A horizontal line has this type of slope. undefined zero
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Pick a Ride … m = 1/2 m = 2/1 or 2 Count the Count the slope. slope.
6 9 12 3 x y Gallons Cost of Gas Cost m = 1/2 m = 2/1 or 2
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Pick a Ride … m = -1/1 or -1 m = -2/3 Count the Count the slope.
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Pick a Ride … -2 7/4 Find the slope that passes through the 2 points:
(2, 0) and (0, 4) Find the slope that passes through the 2 points: (-2, -3) and (2, 4) -2 7/4
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Pick a Ride … 5 -2/5 Find the slope that passes through the 2 points:
(4, 4) and (3, -1) Find the slope that passes through the 2 points: (19, -2) and (-11, 10) 5 -2/5
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Pick a Ride … 0/4 = 0 21/0 = undefined
Find the slope that passes through the 2 points: (0, 4) and (4, 4) Find the slope that passes through the 2 points: (17, -13) and (17, 8) 0/4 = 0 21/0 = undefined
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Pick a Ride … Find the slope from the table & write the equation of the line in slope intercept form Find the slope from the table & write the equation of the line in slope intercept form x y -2 1 4 2 7 10 x y 2 -3 -2 7 -4 12 m =3/2 Y = 3/2x + 4 m = -5/2 y = -5/2 + 2
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Pick a Ride … -4/3 -7/5 Find the slope from the table.
x y -2 8 1 4 7 -4 x y -46 44 -36 30 -26 16 -16 2 -4/3 -7/5
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Pick a Ride … (4,0) and (0,4) (5,0) and (0,3)
Find the x-intercept and the y-intercept: x + y = 4 Write as ordered pairs. Find the x-intercept and the y-intercept: 3x + 5y = 15 Write as ordered pairs. (4,0) and (0,4) (5,0) and (0,3)
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Pick a Ride … (-2,0) and (0,5) (-6,0) and (0,4)
Find the x-intercept and the y-intercept: -5x + 2y = 10 Write as ordered pairs. Find the x-intercept and the y-intercept: 2x – 3y = -12 Write as ordered pairs. (-2,0) and (0,5) (-6,0) and (0,4)
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Pick a Ride … y = 1/2x + 3 y = 3/4x - 2
Write an equation in slope-intercept form: m = ½ b = 3 Write an equation in slope-intercept form: m = 3/4 b = -2 y = 1/2x + 3 y = 3/4x - 2
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Pick a Ride … y = -2x - 1 y = -1/6x - 4
Write an equation in slope-intercept form: m = -4/2 b = -1 Write an equation in slope-intercept form: m = -3/18 b = -12/3 y = -2x - 1 y = -1/6x - 4
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Pick a Ride … Write the equation for the graph in slope-intercept form. Write the equation for the graph in slope-intercept form. y = 1/2x + 1 y = 2x - 2
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Pick a Ride … y = -1x + 4 y = -2/3x - 2
Write the equation for the graph in slope-intercept form. Write the equation for the graph in slope-intercept form. y = -1x + 4 y = -2/3x - 2
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Pick a Ride … y = -2x + 8 y = -2x + 4
Write the equation in slope-intercept form by solving for y: 2x + y = 8 Write the equation in slope-intercept form by solving for y: 6x + 3y = 12 y = -2x + 8 y = -2x + 4
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Pick a Ride … Write the equation in slope-intercept form by solving for y: 4x - 2y = 6 Write the equation in slope-intercept form by solving for y: 11x - 7y = 49 y = 2x - 3 y = 11/7x + 7
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Pick a Ride … Write the equation in slope-intercept form by solving for y: -9x + 3y = -18 Write the equation in slope-intercept form by solving for y: -4.5x + 9y = 18 y = 3x - 6 y = 1/2x + 2
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Pick a Ride … y = -3x + 285 y = 2x + 7 264 lbs. 21 in.
Write the equation in slope-intercept form. Write the equation in slope-intercept form. Kailee is tracking the progress of her plant’s growth. Today the plant is 7 in. high and is growing at 2 in. per day. How tall will the plant be in 7 days? Martin weighs 285 lbs. and started a diet. He is losing 3 pounds per week. How much will he weigh in 7 weeks? y = -3x + 285 264 lbs. y = 2x + 7 21 in.
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Pick a Ride … y = -1,300x + 20,000 y = 50x + 200 $9,600 $350 saved
Write the equation in slope-intercept form. Write the equation in slope-intercept form. Penny has $200 in her savings account and is saving $50 each month. How much will she have saved in 3 months? MJ has $20,000 is his bank account and spends $1,300 each month. How much will MJ have left after 8 months? y = -1,300x + 20,000 $9,600 y = 50x + 200 $350 saved
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Pick a Ride … y = 1/8x + 0 y = .10x + 30 12 miles $50
Write the equation in slope-intercept form. Write the equation in slope-intercept form. A cell phone plan costs $30 per month plus $0.10 per text message. If you send 200 text messages this month, how much would you have to pay? Mallory runs 2 miles in 16 minutes. How many miles will she run in 96 minutes? y = 1/8x + 0 12 miles y = .10x + 30 $50
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Pick a Ride … y = -4x + 13 y = -1/3x - 2
Write the equation in slope-intercept form given 2 points: (2, 5) and (3, 1) Write the equation in slope-intercept form given 2 points: (9, -5) and (6, -4) y = -4x + 13 y = -1/3x - 2
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Pick a Ride … y = -3/4x + 2 y = -2x - 10
Write the equation in slope-intercept form given 2 points: (0, 2) and (4, -1) Write the equation in slope-intercept form given 2 points: (-4, -2) and (-6, 2) y = -3/4x + 2 y = -2x - 10
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