1. 9.3 – Graphing Linear Equations
Math 50
9.3 – Graphing Linear Equations

2. Here’s an equation with two variables: 𝑥+𝑦=3 Solutions to this equation can be written as ordered pairs:

3. Ex 1. Determine whether (−4, 3) is a solution to the equation 2𝑥+3𝑦=12
Ex 1. Determine whether (−4, 3) is a solution to the equation 2𝑥+3𝑦=12. Ex 2. Determine whether 3, 2.5 is a solution to the equation 𝑦= 1 2 𝑥+1.

4. Ex 3. Find three solutions for the equation 3𝑥+𝑦=3. Ex 4
Ex 3. Find three solutions for the equation 3𝑥+𝑦=3. Ex 4. Find three solutions for the equation 𝑦= 1 3 𝑥+4.

5. Graphing Linear Equations
We can plot solutions to equations in two variables in a rectangular coordinate system. This is called graphing an equation.

6. Ex 5. Graph 3𝑥+𝑦=3.

7. Ex 5. Graph 3𝑥+𝑦=3.

8. Ex 5. Graph 3𝑥+𝑦=3.

9. Ex 5. Graph 3𝑥+𝑦=3.

10. Ex 5. Graph 3𝑥+𝑦=3.

11. Ex 6. Graph 𝑦= 1 3 𝑥+4.

12. Ex 6. Graph 𝑦= 1 3 𝑥+4.

13. Ex 6. Graph 𝑦= 1 3 𝑥+4.

14. Ex 6. Graph 𝑦= 1 3 𝑥+4.

15. Ex 7. Graph 𝑦=2.

16. Ex 7. Graph 𝑦=2.

17. Ex 7. Graph 𝑦=2.

18. Ex 7. Graph 𝑦=2.

19. Ex 7. Graph 𝑦=2.

20. Ex 7. Graph 𝑦=2.

21. Ex 8. Graph 𝑥=−3.

22. Ex 8. Graph 𝑥=−3.

23. Ex 8. Graph 𝑥=−3.

24. Ex 8. Graph 𝑥=−3.

25. Ex 8. Graph 𝑥=−3.

26. Ex 8. Graph 𝑥=−3.

27. A point where the graph intersects the 𝑥-axis is called an ___________
A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________.

28. A point where the graph intersects the 𝑥-axis is called an ___________
A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________.
𝒙-intercept

29. A point where the graph intersects the 𝑥-axis is called an ___________
A point where the graph intersects the 𝑥-axis is called an ___________. A point where the graph intersects the 𝑦-axis is called a ____________.
𝒙-intercept
𝒚-intercept

30. To find an 𝒙-intercept: 1. Replace 𝑦 with 0 in equation. 2. Solve for 𝑥.

31. To find a 𝒚-intercept: 1. Replace 𝑥 with 0 in equation. 2. Solve for 𝑦.

32. Ex 9. Find the coordinates of the 𝑥- and 𝑦-intercepts. 𝑥−4𝑦=8

33. Ex 10. Find the coordinates of the 𝑥- and 𝑦-intercepts. 𝑥=−3