Start-Up Day 4Write your equations in Point-Slope Form.

1. Determine the equation of a line which passes through (1,-1) & is parallel to line: 2x +3 y = 8

2. Determine the equation of another line which passes through the same point, but is perpendicular to the line: 2x + 3y = 8.

Day 3 Linear and Absolute Value Functions and Inequalities

Objective - Students will be able to graph absolute value and linear equations and inequalities in two variables.

Essential Questions:What are the differences between solving linear equations in two variables and solving linear inequalities in two variables?

Home Learning:P. 118-119 #16, 20, 21, 22, 25, 30, 53, 54

Section 2-7 p. 1-7 Absolute Value Functions

Section 2-7 p. 1-7 Absolute Value Functions

Let’s Graph a Few with a Graphing Calculator & use what we see to make general conclusions about the graphs of Absolute Value Functions.

Conclusions!

http://www.virtualnerd.com/algebra-2/linear-equations-functions/absolute-value-piecewise-functions/absolute-value/How-Do-You-Graph-an-Absolute-Value-Function

K= Vertical Translation Up or Down

Vertical Stretch when |a|>1Vertical Compression when 0 <|a|<1Reflection when a< 0

H = horizontal

translation

(opposite of what

you see!)

Vertex

Problem 2 – “Got It” – Your Turn

Complete a table of values. What will the vertex be? Remember to place this value in the center of your table. Sketch your graph.

x y

2 134

10

2

2

3

3

Key Concept

p.114 Graphing Linear Inequality

Problem 1 p.115

p.114 Graphing Linear Inequality continued

Problem #1 “Got It” – Your Turn

Problem 3 p.117

Problem 3 “Got It” – Your turn

steeper

14

Problem 3 “Got It” continued – Your turn

x y-1 80 61 42 63 8

vertex

Test point (1, 5) makes the equation true.Shade above

Problem 4 p. 117

Problem 4 “Got It” – Your Turn

Independent Practice: p.118 – 119 #17, 19, 38, 43, 44, 45

For #44, Write an Inequality for the graph

Exit Slip – Show Me What You Know!!!