1. Do Now Graph the following line: y = 2x - 5

2. OBJ: Students will be able to graph equations of horizontal and vertical lines, graph linear equations in standard form by using intercepts, and use linear equations in standard form to solve real-life problems. 3.4 Graphing Linear Equations

3. Standard Form The standard form of a linear equation is Ax + By = C where A and B are not both zero. Example: 3x + 2y = 5

4. Horizontal Lines a) Equation: y = b, where b is a constant. b) Passes through the point (0,b)

5. Vertical Lines a) Equation: x = a, where a is a constant. b) Passes through the point (a, 0)

6. 1. Graph y = -3

7. 2. Graph x = 4

8. Intercepts X-intercept: X -coordinate of the point where the graph crosses the x-axis. Where y = 0. Y-intercept: y-coordinate of the point where the graph crosses the y-axis. Where x = 0.

9. To find the intercepts: A. X – Intercept: substitute 0 in for y, then solve for x. Answer: (x, 0) B. Y – Intercept: substitute 0 in for x, then solve for y. Answer: (0, y)

10. Examples: Find the intercepts: 3. 3x + 4y = 12.

11. Examples: Find the intercepts: 4. 2x + 5y = 10.

12. Using intercepts to graph a linear equation: A. Find the intercepts. B. Plot the points and draw a line.

13. Examples: Use intercepts to graph the linear equation. 5. x + 2y = 6.

14. Examples: Use intercepts to graph the linear equation. 6. 2x – y = 4

15. Real-Life Applications: 7. You are going to the fair and have $16 to spend on rides and games. Ride tickets cost $4 and game tickets cost $2. The equation 4x + 2y = 16 models this situation where x is the number of ride tickets you buy and y is the number of game tickets you buy. a) Graph the equation b) Find the four possible solutions in the context of the problem.