Course 1 Unit 3

Lesson 2 Investigation 3-Lines All Over the Plane

Name: ______

Date: ______Pd: ______

Page 199

  1. Use your graphing calculator to reproduce the graph of as shown in your text on page 199. Points that are important for the Palace Theater owners are not visible in this view window.
  • Where are these points not visible in this view window?
  • What do they tell you about the theater’s profit?
  1. After reading the directions on pg 200, give the values of your new view window.

Xmin: ______Xmax: ______Xscl: ______

Ymin: ______Ymax: ______Yscl: ______

  • After using the trace function to find coordinates of some new points show, explain what they tell about theater business prospects.
  1. What value of P would you get using this model if the value of T is –100? ______
  • Does –100 for T make sense in this problem situation? ______
  • Explain your answer.
  • Where will those values appear on the graph of the model?
  • What do they say about the theater profit situation?
  1. As a team, discuss the patterns in the graphs and tables for linear equations in the form for each of the cases below.
  • Keep in mind what a represents: ______b represents: ______
  • Case 1: a and b are both positive numbers
  • Case 2: a is negative and b is positive
  • Case 3: a and b are both negative numbers
  • Case 4: a is positive and b is negative
  • Case 5: a = 0 and b is positive or negative
  • Case 6: a is positive or negative and b = 0
  1. Part A. Without using your graphing calculator, match each equation with its corresponding graph. Write the letter of the graph next to it’s equation. (Note that Xscl = 1 and Yscl = 1)

I. _____ II. ______III. _____

IV. ______V. ______

A.B.


C. D.



E.

Part B. Without using your graphing calculator, sketch a graph of the following linear equations. (Note that Xscl = 1 and Yscl = 1)



a. b.



c. d.


  • after completing the challenge, make a list of things you look for in an equation to help make a quick sketch.

Checkpoint: pg 201

How can the equation of a linear model be used to predict:

  1. the slope and location of its graph?
  1. the rate of change in a table of the equation’s values?

On Your Own pg . 201

Examine the diagram.

  • Which line passes through the Insert diagram

quadrants of the plane indicated

below?

  • Find values of a and b so that the

graph of y = a + bx passes through

the indicated quadrants.

** either indicate whether values are:

less than 0

greater than 0

equal to 0

Quadrants / The Line / Values of a / Values of b
a. / I, II and III
b. / I, II, and IV
c. / I, III, and IV
d. / II, III, and IV
e. / I and III

Course 1 Unit 3 Lesson 2 Investigation 3Page 1 of 6