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Bellwork Write an equation that satisfies the following criteria Write an equation that satisfies the following criteria Passes through (3,4) and m=3.

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Presentation on theme: "Bellwork Write an equation that satisfies the following criteria Write an equation that satisfies the following criteria Passes through (3,4) and m=3."— Presentation transcript:

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2 Bellwork Write an equation that satisfies the following criteria Write an equation that satisfies the following criteria Passes through (3,4) and m=3 Passes through (3,4) and m=3 Passes through (-2,2) & (1,8) Passes through (-2,2) & (1,8) A carnival charges an entrance fee and a ticket fee. One person paid $27.50 and bought 5 tickets, while another paid $45 and bought 12 tickets. How much would 22 tickets cost A carnival charges an entrance fee and a ticket fee. One person paid $27.50 and bought 5 tickets, while another paid $45 and bought 12 tickets. How much would 22 tickets cost Clickers

3 Bellwork Solution Write an equation that satisfies the following criteria Write an equation that satisfies the following criteria Passes through (3,4) and m=3 Passes through (3,4) and m=3

4 Bellwork Solution Write an equation that satisfies the following criteria Write an equation that satisfies the following criteria Passes through (-2,2) & (1,8) Passes through (-2,2) & (1,8)

5 Bellwork Solution A carnival charges an entrance fee and a ticket fee. One person paid $27.50 and bought 5 tickets, while another paid $45 and bought 12 tickets. How much would 22 tickets cost? A carnival charges an entrance fee and a ticket fee. One person paid $27.50 and bought 5 tickets, while another paid $45 and bought 12 tickets. How much would 22 tickets cost?

6 Write Linear equations in Point-Slope Form Section 5.3

7 The Concept Yesterday we spent learned how to take a point and a slope to write a linear equation Yesterday we spent learned how to take a point and a slope to write a linear equation Today we’re going to take a look at a another linear form, that can aid us in our efforts to write linear equations Today we’re going to take a look at a another linear form, that can aid us in our efforts to write linear equations

8 Point Slope Form As we’ve already seen, linear equations are often just various rewritten iterations of the same equation As we’ve already seen, linear equations are often just various rewritten iterations of the same equation It make sense then that there is a form that exists that combines a point and a slope It make sense then that there is a form that exists that combines a point and a slope This form is cleverly named, Point Slope Form. Today we’re going to talk about Point Slope Form This form is cleverly named, Point Slope Form. Today we’re going to talk about Point Slope Form It’s common form can be seen a It’s common form can be seen a This form is based on the ideas presented by slope intercept form This form is based on the ideas presented by slope intercept form

9 Point Slope Form Let’s look at how we can take this back to slope intercept form Let’s look at how we can take this back to slope intercept form

10 Point Slope Form Let’s do an example involving this form Let’s do an example involving this form Write an equation for a line with slope 2 and passes through the point (4, -3) Write an equation for a line with slope 2 and passes through the point (4, -3)

11 Point Slope Form We can also easily convert this form back to slope-intercept form We can also easily convert this form back to slope-intercept form

12 On your own Write an equation for a line with slope 5 and passes through the point (8, -5) Write an equation for a line with slope 5 and passes through the point (8, -5)

13 On your own Write an equation for a line with slope of ½ and passes through the point (-4, 1) Write an equation for a line with slope of ½ and passes through the point (-4, 1)

14 Practice You are designing a sticker to advertise your band. A company charges $225 for the first 1000 stickers and $80 for each additional 1000 stickers. Write an equation that gives the total cost (in dollars) of stickers as a function of the number (in thousands) of stickers ordered.

15 Homework 5.3 Exercises 1, 2, 7-19 odd, 45-52 even

16 Practice Example 5, page 295

17 Most Important Points Point-Slope Form Point-Slope Form Changing between forms Changing between forms


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