4.2 write equations from 1 point and slope ink.notebook. November 14, page write equation from slope and a point. page 142.

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1 4.2 write equations from 1 point and slope ink.notebook page write equation from slope and a point page 142 Lesson Objectives Standards Lesson Notes page Write Equations From 1 Point And Slope Press the tabs to view details. 1

2 4.2 write equations from 1 point and slope ink.notebook Lesson Objectives F.BF.1 F.BF.1 F.LE.2 F.LE.2 Standards Lesson Notes I will write a linear function from 1 point and slope into slope intercept form I will write a linear function into point slope form from a word problem I will write a linear equation into slope intercept form from a story problem I will write a linear equation into slope intercept form from slope and a point Press the tabs to view details. Lesson Objectives Standards Lesson Notes F.BF.1 Write a function that describes a relationship between two quantities a) Determine an explicit expression, a recursive process, or steps for calculation from a context b) Combine standard function types using arithmetic operations. F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input output pairs (include reading these from a table). Press the tabs to view details. Write an equation of the line that passes through the given point and has the given slope. a) (x, y) and slope = m Put these values in for the variables in the equation: b) Distribute c) Add or subtract to get y by itself d) Write your final answer. y = x + ( 3, 4) slope 2 y = (x ) 2

3 4.2 write equations from 1 point and slope ink.notebook Write an equation of the line that passes through the given point and has the given slope. 2. (0, 4), m = 3 1. ( 1, 3) slope 5 3 = (x 5 a) y ) 1 5 x + b) y = 2 0 a) y 3 ) 4 = (x 4 b) y = 3 x + mmm b 3. m b 4. 3

4 4.2 write equations from 1 point and slope ink.notebook 5. A local recreation center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. a) Write an equation in slope-intercept form that represents he total cost of the membership b) Carly spent $500 one year. How many aerobics classes did she take? 6. Ten people from a local youth group went to Black Hills Whitewater Rafting Tour Company for a one day rafting trip. The group paid $425. a) Write an equation in slope-intercept form to find the total cost C for p people. Slope b) How much would it cost for 15 people? (10, 425) 4

5 On Your Whiteboards a) ( 5, 4); slope 0 b) a) ( 5, 4); slope 0 b) c) Mr. Kimball receives a $3000 annual salary increase on the anniversary of his hiring if he receives a y y 1 = m(x x 1 ) y y 1 = m(x x 1 ) satisfactory performance review. His starting salary was $41,250. Write an equation to show k, Mr. 1 a) y 4 Kimball's salary after y years at this company if his = (x 0m ) 5 a) y 2 = (x m2 ) 2 performance reviews are always satisfactory. 1 m b) y = 0 x + b m 4 b) y = 2 x + b1 5

6 On the Worksheet Homework 1. (3, 3); slope: 3 2. (2, 4), m = 2 y y 1 = m(x x 1 ) y y 1 = m(x x 1 ) 3. (1, 5); slope: 1 y y 1 = m(x x 1 ) y y 1 = m(x x 1 ) 4. ( 4, 6); m = 2 6

7 5. (3, 1), m = 2 6. ( 1, 4), m = 1 y y 1 = m(x x 1 ) y y 1 = m(x x 1 ) 7. (1, 0); slope: 1 8. (7, 1), slope: 8 y y 1 = m(x x 1 ) 9. ( 2, 5) m = (2, 6); slope: 2 y y 1 = m(x x 1 ) y y 1 = m(x x 1 ) 7

8 13. Mr. Williams pays $40 a month for city water, no matter how many gallons of water he uses in a given month. Let x represent the number of gallons of water used per month. Let y represent the monthly cost of the city water in dollars. a) Write an equation to represent this information. 14. Tristan buys a computer for $3600. For tax purposes, he declares a linear depreciation (loss of value) of $600 per year. Let y be the declared value of the computer after x years. a) What is the slope of the line that models this depreciation? b) What is the slope of the line? b) Write a linear equation in slope intercept form to model the value of the computer over time. c) Find the value of Tristan s computer after 4.5 years. 15. a) Write an equation to present the total cost C for t tickets. Solve by showing all work x + 1 = b) Determine the processing fee. c) Find the cost of 8 tickets. 8

9 x = x x = x + 34 = 7x 25 Answers: $431 9