1. 5-4 Graphing Linear Equations

2. Drill # 60 If the range of 4x + 2y = 8 is
{ -2, 0 , ½, 1 } Then find the following:
1. Domain (x) 2. table of values
3. mapping Inverse
5. the solution set

3. (17.) Linear Equation in Standard Form
Definition: an equation in the form Ax + By = C, where A, B, and C are any real numbers , and A and B are not both zero.
All linear equations can be written in standard form.
Examples: Non-examples:

4. Which of the following equations are linear
Which of the following equations are linear? Write them in standard form. Then state A, B, and C
6. 5y = 10 – 3x
7. y = 6 8.
= 4y + 5x
x = -4

5. Finding points from an equation
An example of a point
Read worksheet, then complete #1-7.
Remember to make an x, y chart.

6. Graphing Linear Equations
Make a table with x and y values.
Find two ordered pairs. (pick a value for x and find y)
Plot points.
Draw a line through the points.
Check your solution (find another point)

7. Graphing a linear equation
To graph a linear equation:
1. Find two points (x,y) that satisfy the equation. (substitute values for x)
2. Plot each point on the coordinate plane.
3. Draw a line connecting the two points.
4. Be sure to put arrows on the ends of the line.
5. Find a third point and check to see if it is on the line you graphed.

8. Hints for choosing values to find ordered pairs
Try x = 1 or x = 0, these are usually easy to substitute
Also try y = 1, or y = 0
If x or y has a fractional coefficient, choose a number that is divisible by the denominator.

9. 5-4 Practice
Complete 5-4 Practice Worksheet