This document contains notes from a geometry lesson on graphing lines. It includes examples of graphing lines by writing out the steps, using different methods like a "defensive lineman" or "ballerina." It also covers finding intercepts, graphing circles, and using a calculator. The agenda is to cover Chapter 13 and review for a final. Students are assigned exit slip problems graphing an equation using a table and checking on their calculator.

1. Geom13­1.notebook December 10, 2011
BELL WORK: What do you remember about graphing lines?
Draw an x­ y­ coordinate graph, y
6
and graph the following line. 5
Use any method you remember. 4
3
2
y = 2x ­ 1 1
x
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
­1
­2
­3
­4
­5
­6
Agenda for the day:
1. Today, we will begin Ch. 13.
2. You will have an exit slip.
Look ahead:
1. We will cover the first 3 sections of Ch. 13.
2. After that, we will begin reviewing for the final.
Just 3 more lessons!
1

2. Geom13­1.notebook December 10, 2011
After this lesson, you should be able to graph lines and
circles using any of 3 methods.
Looking back at the BELL WORK,
use your white boards to show me the graph you came up with.
Let's graph this line like a defensive lineman:
Put your head down, and push through step by step.
y = 2x ­ 1 6
y
5
x y 4
3
2
1
x
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
­1
­2
­3
­4
­5
­6
2

3. Geom13­1.notebook December 10, 2011
Now let's do the problem like a ballerina, elegantly!
y
y = 2x ­ 1 5
4
y­intercept: 3
2
1
x
slope:
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
­1
­2
­3
­4
­5
­6
Examples: y
6
5
y = 3x ­ 3 4
3
2
x = 1 1
x
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
2y + 4 = ­x ­1
­2
­3
y = ­2 ­4
­5
­6
3

4. Geom13­1.notebook December 10, 2011
Let's take a look at p.606 #3
(x­1)2 + (y­2)2 = 25
y
6
5
4
3
2
1
x
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
­1
­2
­3
­4
­5
­6
Finding x­ and y­ intercepts:
y
6
5
Find the intercepts of y = 4x ­ 2 4
3
2
1
x
­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6
­1
­2
­3
­4
­5
­6
4

5. Geom13­1.notebook December 10, 2011
Who has their calculator?
Graphing on calculator.
Finding x­intercepts: MENU, TRACE
or MENU, ANALYZE GRAPH, ZERO
Finding y­intercepts: MENU, TRACE,
5

6. Geom13­1.notebook December 10, 2011
EXIT SLIP: Graph the following equation by making a table of x­ and
y­ values. I must see your table and graph. Check your work using
your calculator.
y = x ­ 1
Homework: p. 607 #2­8,10
due Monday
6