3.4.1 Graphs, Slopes, Intercepts, Equations and Check

Find the y-intercept of each graph and also find the slope of each graph. Then create an equation that represents the graph. Finally, you will check your equation using technology.

GRAPH A
/ Slope = ______
y-intercept = ______
Join to create an equation
Equation = ______
Check you answer using the graphing calculator.
GRAPH B
/ Slope = ______
y-intercept = ______
Join to create an equation
Equation = ______
Check you answer using the graphing calculator.

3.4.1 Graphs, Slopes, Intercepts, Equations and Check (Continued)

GRAPH C
/ Slope = ______
y-intercept = ______
Join to create an equation
Equation = ______
Check you answer using the graphing calculator.
GRAPH D
/ Slope = ______
y-intercept = ______
Join to create an equation
Equation = ______
Check you answer using the graphing calculator.

3.4.3Can Graphing Get Any Easier?

Investigation 1

  1. Start at the y-intercept.
  1. Only moving up (+) or down (-), how many units do you need to reach the same level as point B?
  1. Only moving right (+), how many units do you have to move your pencil to connect to point B?
  1. Given the equation for the graph state the slope and the y-intercept

Slope =

y-intercept =

3.4.3Can Graphing Get Any Easier? (Continued)

Investigation 2

  1. Start at the y-intercept.
  1. Only moving up (+) or down (-), how many units do you need to reach the same level as point B?
  1. Only moving right (+), how many units do you have to move your pencil to connect to point B?
  1. Given the equation for the graph state the slope and the y-intercept

Slope =

y-intercept =

3.4.3Can Graphing Get Any Easier? (Continued)

Investigation 3

  1. Start at the y-intercept.
  1. Only moving up (+) or down (-), how many units do you need to reach the same level as point B?
  1. Only moving right (+), how many units do you have to move your pencil to connect to point B?
  1. Given the equation for the graph state the slope and the y-intercept

Slope =

y-intercept =

3.4.3Can Graphing Get Any Easier? (Continued)

Summary

  1. Looking at all three investigations, can you relate the values from steps 2 and 3 with the slope or the y-intercept? Explain the relationship.
  1. Given the following equation:

/ Slope:
y-intercept:

Describe a method to graph this equation by hand using the slope and the y-intercept.

  1. Using the grid provided below graph the equation. Write the steps you followed to the right of your graph.

3.4.4Rising and Running From a Point

Graph the following equations on the grids given below and check your graphs using the graphing calculator.

Note: When you write the slope as a fraction, any negative signs should be placed in the numerator only.

Equation 1 / Equation 2
Slope =
Rise =
Run =
y-intercept = / Slope =
Rise =
Run =
y-intercept =
Graph:
/ Graph:
Notes : / Notes :

3.4.4Rising and Running From a Point (Continued)

Graph the following equations on the grids given below and check your graphs using the graphing calculator.

Note: When you write the slope as a fraction, any negative signs should be placed in the numerator only.

Equation 3 / Equation 4
Slope =
Rise =
Run =
y-intercept = / Slope =
Rise =
Run =
y-intercept =
Graph:
/ Graph:

Notes : / Notes :

3.4.4Rising and Running From a Point (Continued)

Graph the following equations on the grids given below and check your graphs using the graphing calculator.

Note: When you write the slope as a fraction, any negative signs should be placed in the numerator only.

Equation 5 / Equation 6
Slope =
Rise =
Run =
y-intercept = / Slope =
Rise =
Run =
y-intercept =
Graph:
/ Graph:

Notes : / Notes :