1. Graphing Using Tables (continued)

3. Graph 2x + y = 4 using a table.

5. Graph 3x – y = 2 using a table.

7. Graph using a table.

9. Graphing
LINEAR EQUATIONS are what we will focus on the next few weeks.

10. Characteristics of Linear Equations
How can I look at an equation and know that it will form a line?
5 Characteristics
No variable has an exponent other than 1 (Ex. 1)
No variable is in absolute value (Ex. 2)
No variables are multiplied together (Ex. 3)
No variable in the denominator (Ex. 4)
No more than 2 variable (Ex.: 2x + y + z = 9)
If an equation passes these 5 things, it will form a line.

11. Graphing
What do you notice about ALMOST any line you can draw on a graph?
Intercepts occur when a graph hits either axis.
X-intercept – where the graph crosses the x-axis
Occurs when y = 0
Y-intercept – where the graph crosses the y-axis
Occurs when x = 0

12. Graphing Using Intercepts
If you know an equation is linear, you may find the x- and y-intercepts and use the 2 points to graph a line.
Example: Graph 5x – 2y = 15 using intercepts.

14. Graph the following equation by finding the x- and y-intercepts.

16. Is the equation 4x - 5y = 8 linear? If so, graph it.

18. Is the equation 4x2 + 2y = 12 linear? If so, graph it.

19. What are the x- and y-intercepts of the equation 9x + 2y = -36?