Warm Up The senior class is selling tickets

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Warm Up The senior class is selling tickets for a car wash to raise

Warm Up The senior class is selling tickets for a car wash to raise money for Grad Nite. Since pickup trucks, vans, and SUVs are bigger vehicles they are charged more than cars. Write an equation to model how much money was raised. What information do you need to solve the problem? • The price cars are charged. $4. 00 • The number of cars washed. c • The price of vans, SUVs, and trucks are charged. $6. 00 • The number of vans, SUV’s, and trucks washed. t • How much money is raised. $600. 00

On page 82 complete the investigating slope and y-intercept

On page 82 complete the investigating slope and y-intercept

2. 3: Quick Graphs of Linear Equations, p. 82 Slope-Intercept Form y = mx

2. 3: Quick Graphs of Linear Equations, p. 82 Slope-Intercept Form y = mx + b m = slope b = y-intercept Example 0 Put the following equation in slope-intercept form. 3 x − 2 y = 6 − 3 x − 2

2. 3: Quick Graphs of Linear Equations, p. 82 Example 1 a Graph the

2. 3: Quick Graphs of Linear Equations, p. 82 Example 1 a Graph the following linear equation using the slope and y-intercept y 1) Find the slope and y-intercept. − 3 +2 2) Plot the y-intercept. 3) Plot the slope. 2 − 2 m= or m = − 3 3 4) Draw a line through the points. − 2 +3 x

2. 3: Quick Graphs of Linear Equations, p. 82 A. a = − 40

2. 3: Quick Graphs of Linear Equations, p. 82 A. a = − 40 t + 1000 a = amount owed t = time in weeks B. Amount Owed Example 2 You buy a $1200 stereo on the layaway plan at your local Wally World. You put $200 down and then make payments of $40 a week until it’s paid off. A. Write an equation to model the situation. B. Graph the model. 1200 1000 800 600 400 200 5 10 15 20 25 30 Number of Weeks

2. 3: Quick Graphs of Linear Equations, p. 82 Standard Form (Ax + By

2. 3: Quick Graphs of Linear Equations, p. 82 Standard Form (Ax + By = C) The easiest method for graphing a line in Standard Form is finding the x and y-intercepts. x-intercept = where the line crosses the x-axis y-intercept = where the line crosses the y-axis Example 3 Graph 3 x + 2 y = 6 y x x-intercept (set y = 0) y-intercept (set x = 0) 3 x + 2(0) = 6 3 x = 6 3(0) + 2 y = 6 y=3

2. 3: Quick Graphs of Linear Equations, p. 82 Graphing Horizontal and Vertical Lines

2. 3: Quick Graphs of Linear Equations, p. 82 Graphing Horizontal and Vertical Lines Example 4 Graph y = 1 and x = − 2. y=1 Count up 1 on the y-axis. Draw a horizontal line. y x = − 2 Count left 2 on the x-axis. Draw a vertical line. y x = − 2 y=1 x x Horizontal Lines are in the form y = c. Vertical Lines are in the form x = c. p