35 38 point slope day 2.notebook February 26, a) Write an equation in point slope form of the line.

Transcription

1 LT 6: I can write and graph equations in point slope form. p.35 What is point slope form? What is slope intercept form? Let's Practice: There is a line that passes through the point (4, 3) and has a slope of 2. a) Write an equation in point slope form of the line. b) Rewrite the equation in slope intercept form. Graph the equation: y + 2 = 2 (x 3). 3 a) y x b) Rewrite the equation in slope intercept form. y + 2 = 2 (x 3). 3 Write an equation in point slope form of the line. m: point: Equation #1 Equation #2 m: point:

2 Problem Solving 1 problem asked in 3 different ways. 1a. Suppose you have $500 in your savings account. You save $25 each month. Write an equation in slope intercept form that represents how much money you will have after x months. p.36 1b. You have some money in your savings account. You will add $25 each month to your account. By month 8 you have $700. How much money did you start with in your savings account? 1c. You add the same amount of money to your savings each month. In month 5 you have $625. In month 12 you have $800. How much money do you have by month 17? 2a. A newspaper editor starts his career out making $4,280. He gets a $790 raise each year. Write an equation in slope intercept form that gives his total money made after x years. 2b. A newspaper editor gets a $790 raise each year. In his 8th year, he is making $10,600. How much money did the editor make when he first started working? 2c. A newspaper editor gets the same raise each year. In his 5th year of work he made $8230. In his 9th year he made $11,390. How much will he make after working for 15 years?

3 1. CW There is a line that passes through the point ( 1, 4) and has a slope of 2. a) Write an equation in point slope form of the line. P p (2ab, 4abc) p (all) p.37 b) Rewrite the equation in slope intercept form. 2. a) Graph the equation: b) Rewrite the equation in slope intercept form. y 1 = (x 2) y y 1 = (x 2) x 3. a) Graph the line that goes through (6, 5) and ( 2, 1). y b) Write an equation of the line from part (a) in point slope form using the point (6, 5). Then, rewrite it in slopeintercept form. c) Write an equation of the line in part (a) in pointslope form using the point ( 2, 1). Then, rewrite it in slope intercept form. x

4 Problem Solving 1 problem asked in 3 different ways. 4a. Your gym membership costs $33 per month. The initial membership fee to join is $60. Write an equation in slope intercept form that represents the total cost you pay for your gym membership after x months. p.38 4b. Your gym membership costs $33 per month after an initial membership fee. You paid a total of $258 after 6 months. What is the cost of the initial membership fee? 4c. Your gym charges the same rate per month. You have paid $192 after 4 months. You have paid $390 after 10 months. How much will you pay after 16 months at the gym? 5a. The initial cost of renting a moving van is $60. Then it cost $0.25 per mile. Write an equation in slope intercept form that represents the total cost of renting a moving van after x miles. 5b. Renting a moving van costs $0.25 per mile. You paid $65 for 20 miles. What is the initial cost of renting the moving van? 5c. Cost of renting a moving van for a 25 mile trip is $ Renting the same moving van for a 45 mile trip is $ The cost changes at a constant rate. What is the total cost of renting the moving van for a 62 mile trip?

5 IF Box 1 Checking: p Write an equation of the line in point slope form given two points. Write an equation of the same line in slope intercept form. (2, 5) and ( 4, 4) w IF

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8 Functions Review Test is next Wednesday

9 LT 6: I can write and graph equations in point slope form. p.35 What is point slope form? What is slope intercept form? Let's Practice: There is a line that passes through the point (4, 3) and has a slope of 2. a) Write an equation in point slope form of the line. b) Rewrite the equation in slope intercept form. Graph the equation: y + 2 = 2 (x 3). 3 a) y x b) Rewrite the equation in slope intercept form. y + 2 = 2 (x 3). 3 Write an equation in point slope form of the line. m: point: Equation #1 Equation #2 m: point:

10 LT 6: I can write and graph equations in point slope form. p.35 What is point slope form? What is slope intercept form? Let's Practice: There is a line that passes through the point (4, 3) and has a slope of 2. a) Write an equation in point slope form of the line. b) Rewrite the equation in slope intercept form. Graph the equation: y + 2 = 2 (x 3). 3 a) y x b) Rewrite the equation in slope intercept form. y + 2 = 2 (x 3). 3 Write an equation in point slope form of the line. m: point: Equation #1 Equation #2 m: point:

11 Problem Solving 1 problem asked in 3 different ways. 1a. Suppose you have $500 in your savings account. You save $25 each month. Write an equation in slope intercept form that represents how much money you will have after x months. p.36 1b. You have some money in your savings account. You will add $25 each month to your account. By month 8 you have $700. How much money did you start with in your savings account? 1c. You add the same amount of money to your savings each month. In month 5 you have $625. In month 12 you have $800. How much money do you have by month 17?

12 Problem Solving 1 problem asked in 3 different ways. p.36 2a. A newspaper editor starts his career out making $4,280. He gets a $790 raise each year. Write an equation in slope intercept form that gives his total money made after x years. 2b. A newspaper editor gets a $790 raise each year. In his 8th year, he is making $10,600. How much money did the editor make when he first started working? 2c. A newspaper editor gets the same raise each year. In his 5th year of work he made $8230. In his 9th year he made $11,390. How much will he make after working for 15 years?

13 CW P p (2ab, 4abc) p (all) Show all work! 2a) 2b) y = 1x + 3 Answers 4a) y = 33x b) $60 4c) $588

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