BI 4.5 Graphing Linear Equations in Standard Form

BI 4.5 Graphing Linear Equations in Standard Form 2x + 3y = 6 Write the equation in slope intercept form. slope: y intercept: Graph the equation. 1

Write the equation in slope intercept form. 1 3 x + y = 1 2 4 slope: y intercept: Graph the equation. Find the x and y intercepts. x + 3y = 3 3x 4y = 12 x + 3y = 3 2

Five friends go scuba diving. They rent a boat for x days for $250 a day and scuba gear for y days for $50 a day. The total spent is $1000. a. Write an equation in standard form that represents the situation. b. Write the equation in slope intercept form and graph the equation. You have $6 to spend on apples and bananas. You buy a certain amount of bananas(x) for $1.50 a pound and a certain amount of apples(y) for $. 60 a pound. a. Write an equation in standard form that represents the situation. b. Write the equation in slope intercept form and graph the equation. 3

Complete the Exit Ticket and it hand in. Write the equation in slope intercept form. Identify the slope and y intercept. 1) 18x + 9y = 17 2) 1 x 1 y = 18 2 5 Assignment: BI 4.5 #5 21 odd ENY Lesson 17 Slope Intercept Form 4

Lin Equ Pt 2 per 1.notebook 5

Complete the Exit Ticket and it hand in. 1.17 PS #1 4 Assignment: 6

Big Ideas 4.6 Graphing and Writing Linear Equations Write an equation of the line using the coordinates in slope intercept form. (1,4) (0,2) (0, 1) (3, 5) (0, 4) ( 3, 4) 7

The graph shows the distance remaining to complete the tunnel. a) Write an equation that represents the distance y(in feet) remaining after x months. b) How much time does it take to complete the tunnel? EXIT TICKET One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount of money, y, you have raised after x miles. 8

Complete the Exit Ticket. Write an equation in slope intercept form using the coordinates ( 2,4) (0, 1). Assignment: BI 4.6 #5 17 odd ENY 4.18 Slope and y-intercept 9

Complete the Exit Ticket. ENY 4.18 PS #1 10 Assignment: ENY 4.19 More Slope and y-intercept 12

Identify the slope and y intercept. y = 3x 9 x + 2y = 6 slope: slope: y intercept: y intercept: Identify the slope and y intercept. x 2 y = 8 2x + 3y = 12 3x + 8y = 24 13

Identify the slope and y intercept. x 6y = 15 y = 1/6x + ( 5/2) 4x + 3y = 21 y = 4/3x + 7 Complete the Exit Ticket. ENY 4.19 PS #1 10 Assignment: 14

ENY 4.20 Write Linear Equations from a Graph 15

Complete the Exit Ticket. ENY 4.20 PS #1 6 QUIZ TOMORROW Assignment: ENY Lesson 21 Slope Form Coordinates and Slope 17

Complete the Exit Ticket and it hand in. 4.21 PS #1 8 Assignment: ENY 4.22 Constant Rate and Word Problems 20

Complete the Exit Ticket. ENY 4.22 PS #1 5 Assignment: 23

Slope Intercept form word problems An attorney charges a fixed fee of $250 for an intial meeting and $150 per hour for all hours worked after that. a) Write an equation in slope intercept form. Graph the equation. b) The solve the equation if the total fee were $2,200. 24

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. a) Write an equation is slope intercept form to represent this situation. Graph the equation. b) How long will it take to get 127 gallons of water? A video rental store charges a $20 membership fee and $2.50 for each video rented. a) Write an equation in slope intercept form to model this situation then graph it. b) If 15 videos are rented, how much money did the store collect? c) If a new member paid the store $67.50 in the last 3 months, how many video games were rented? 25

Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. a) Write an equation in slope intercept form to represent this situation. b) If Casey made 40 baskets this past week, what were her total weekly costs? c) Her total costs for the week before were $562.50. How many dessert baskets did she make the week before? The distance y (in meters) that a four person ski lift travels in x seconds is represented by the equation y = 2.5x. The graph shows the distance that a twoperson ski lift travels. a. Can we figure out which ski lift is faster? b. Graph the equation that represents the four person ski lift in the same coordinate graph as the two person ski lift. Compare the steepness of the graphs. What does this mean? c. The table shows the distance that a T bar ski lift travels. Compare its speed to the two and fourperson ski lift. 26

The distance a VW Bug travels on x gallons of gas is represented by the equation y = 43x. The graph shows the distance another car travels. a. Which vehicle gets better gas mileage? Explain how you got your answer. b. How much farther can the vehicle you chose in part a travel than the other vehicle on 8 gallons of gas? Assignment: Slope Intercept Form Word Problems QUIZ TOMORROW 27

ENY Lesson 23 Defining an Equation of a Line Graph the equation 9x + 3y = 18. Graph the equation y = 3x + 6 28

2 3. Graph the equation y = x 4. 3 Graph the equation 6x 9y = 36 29

4. Write three equations that would graph as the same line as the equation 3x + 2y = 7. 30

Complete the Exit Ticket and it hand in. Assignment: 4.22 PS #1 3 and 4 or 5 31