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Write an equation in slope- intercept form  The slope-intercept equation is also referred to as linear equation,linear model or function.

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Presentation on theme: "Write an equation in slope- intercept form  The slope-intercept equation is also referred to as linear equation,linear model or function."— Presentation transcript:

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2 Write an equation in slope- intercept form  The slope-intercept equation is also referred to as linear equation,linear model or function

3 Write an equation in slope- intercept form  The slope, m, is also called the coefficient

4 Write an equation in slope- intercept form  The y-intercept, b, is also referred to as the constant

5 Write an equation in slope- intercept form  Example: The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. What is the cost per lesson? The cost per lesson means slope which is what we need to find

6 Write an equation in slope- intercept form  The cost for 7 dance lessons is $82. The cost for 11 lessons is $122.  To find slope we need 2 ordered pairs

7 Write an equation in slope- intercept form  Plug the points into the equation for slope  Reduce the top and bottom  Simplify the fraction

8 Write an equation in slope- intercept form  What’s the cost per lesson?  The cost per lesson is $10

9 Write an equation in slope- intercept form  The cost for 7 dance lessons is $82. The cost for 11 lessons is $122.  What is the flat fee?  The flat fee refers to the y-intercept which is what needs to be found

10 Write an equation in slope- intercept form  We know m, so plug it into the equation  Plug in one of the points Does it matter which point?  Multiply 10(11)  Subtract 100 from both sides

11 Write an equation in slope- intercept form  b is 12 so:  The flat fee is $12

12 Write an equation in slope- intercept form  Write a linear equation that relates the total cost, y, in terms of the lessons, x  Plug b back into the equation

13 Write an equation in slope- intercept form  Anjelita receives some money as a birthday gift. She saves the money and adds more to it each week. After five weeks, she has saved $175. After 8 weeks she has $190.  How much does Anjelita save each week?

14 Write an equation in slope- intercept form  Anjelita receives some money as a birthday gift. She saves the money and adds more to it each week. After five weeks, she has saved $175. After eight weeks she has $190.  The question asks for slope, so find 2 points

15 Write an equation in slope- intercept form  Plug the points into the equation for slope  Reduce the top and bottom  Simplify the fraction

16 Write an equation in slope- intercept form  Anjelita receives some money as a birthday gift. She saves the money and adds more to it each week. After five weeks, she has saved $175. After 8 weeks she has $190.  How much does Anjelita save each week?  m = 5, so Anjelita is saving $5 each week

17 Write an equation in slope- intercept form  Anjelita receives some money as a birthday gift. She saves the money and adds more to it each week. After five weeks, she has saved $175. After 8 weeks she has $190.  How much money did she receive for her birthday?  This question is asking for the b

18 Write an equation in slope- intercept form  Plug m into the equation  Plug in one of the points  Multiply  Subtract 25 from both sides

19 Write an equation in slope- intercept form  b = 150, so she received $150 for her birthday

20 Write an equation in slope- intercept form  Moesha feeds her dog the same amount of dog food each day from a very large bag. On the 3 rd day she has 44 cups left in the bag, and on the 11 th day she has 28 cups left. How many cups of food does she feed her dog a day?

21 Write an equation in slope- intercept form  Moesha feeds her dog the same amount of dog food each day from a very large bag. On the 3 rd day she has 44 cups left in the bag, and on the 11 th day she has 28 cups left. How many cups of food were in the bag when she started?

22 Write an equation in slope- intercept form  The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $ a van that is driven 127 miles costs $ What is the charge per mile?

23 Write an equation in slope- intercept form  The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven while it is rented. A van that is driven 107 miles costs $ a van that is driven 127 miles costs $ What is the flat rental fee?

24 Write an equation in slope- intercept form  A calling plan charges a rate per minute plus a flat fee. A 10-minute call to the Czech Republic costs $3.19. a 15- minute call costs $4.29. Based on a linear model, predict the cost of a 22- minute call.

25 Write an equation in slope- intercept form  In 1994, the average price of a new domestic car was $16,930. in 2002, the average price was $19,126. based on a linear model, what was the approximate predicted average price for 2008?

26 Write an equation in slope- intercept form  Robert bought an mp3 player for $125 and he pays a fee for each song he downloads. The linear equation that represents this situation is y = 2x What is the slope? What does it represent in this situation?

27 Write an equation in slope- intercept form  Suppose you have already saved $75 toward the cost of a new iPod. You plan to save $10 more each week for the next several weeks. The linear equation that represents this situation is y = 10x What is the y-intercept? What does it represent in this situation?

28 Write an equation in slope- intercept form  Ms. Chang’s class decides to participate in a walkathon. Each participant in the walkathon must find sponsors to pledge a certain amount of money for each kilometer the participant walks. Alana’s sponsors will make a $5 donation plus $0.50 per kilometer. Write a linear equation that models this situation

29 Write an equation in slope- intercept form  Ms. Chang’s class decides to participate in a walkathon. Each participant in the walkathon must find sponsors to pledge a certain amount of money for each kilometer the participant walks. Alana’s sponsors will make a $5 donation plus $0.50 per kilometer. How much would Alana collect from each sponsor if she walks 8 km?

30 Write an equation in slope- intercept form  Ms. Chang’s class decides to participate in a walkathon. Each participant in the walkathon must find sponsors to pledge a certain amount of money for each kilometer the participant walks. Alana’s sponsors will make a $5 donation plus $0.50 per kilometer. What is the slope and what does it represent? What is the y-intercept and what does it represent?

31 Write an equation in slope- intercept form  Leanne’s sponsors will pay $10 regardless of how far she walks. Write a linear equation that models this situation. How much would Leanne collect if she walks 8 km? What is the slope and what does it represent? What is the y-intercept and what does it represent?

32 Write an equation in slope- intercept form  Gilberto’s sponsors will pay $2 per kilometer? What a linear equation that models this situation. How much would Leanne collect if she walks 8 km? What is the slope and what does it represent? What is the y-intercept and what does it represent?


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