1. Graphing Functions
#33

2. Vocabulary
Linear equations-an equation whose solutions form a straight line on a coordinate plane
Ex: y = 2 x + 1

3. Example 1
Use the given x-values to write solutions of the equation y = 4x + 2 as ordered pairs. x = 1, 2, 3, 4.

4. FYI
Check if an ordered pair is a solution of an equation by putting the x and y values into the equation to see if they make it a true statement.

5. Example 2
Determine whether the ordered pair is a solution to the given equation.
(3, 21); y = 7x

6. Example 3
Determine whether the ordered pair is a solution to the given equation.
(4, 20); y = 5x

7. Example 4
Determine whether the ordered pair is a solution to the given equation.
(6, 4); y = 2x - 7

8. FYI
You can also graph the solutions of an equation on a coordinate plane. When you graph the ordered pairs of some functions, they form a straight line. The equations that express these functions are called linear equations.

9. Example 5
Use the graph of the linear function to find the value of y for the given value of x.
x = 4 x y 4 2 -2 -4 9

10. Example 6
For each graph of a linear function, find the values of y for the values of x given below the graph.
x = 2 y 2 x 9 8 7 6 5 1 3 4 10 10

11. Example 7
For each graph of a linear function, find the values of y for the values of x given below the graph.
x = 4 y 2 x 9 8 7 6 5 1 3 4 10

12. Graph the function described by the equation. y = 8 - x
Example 8
Graph the function described by the equation. y = 8 - x 2
8 - 6 6 1
8 - 7 7
8 - 8 8 y
8 - x x
(8, 0)‏
(7, 1)‏
(6, 2)‏ 9 5 3 4 10

13. Graph the function described by the equation. y = 3x+ 2
Example 9
Graph the function described by the equation. y = 3x+ 2 8
3(2) + 2 2 5
3(1) + 2 1
3(0) + 2 y
3x + 2 x 13