Name: Tyler Styons / Contact Info: / Date:16-Jul-15
Lesson Title: Slope Intercept Challenge / Unit #:
4 / Lesson #:
2 / Activity #:
1 / Worksheet: d
Activity Title: Mission Launch
Worksheet Title: Mission Launch

Name:______Date:______

This is your mission…

You are currently working for NASA in their robotic division. NASA is planning a trip to Mars however human travel is not yet capable. Once the robot lands, your job is to control the robot’s movements in order to explore the surface of the planet. The robot must travel to all four quadrants in order for the mission to be successful. You will use your knowledge of slope intercept forms of equations in order to plan out a path that the robot will take that will not only avoid all obstacles but will also be economical.

1.  Your first step is to map out the obstacles that your robot must avoid. Plot all of the obstacles on this graph

Targets:

x / y
5 / 2
2 / -5
-4 / -2
0 / 6

Obstacles

x / y
1 / 1
-6 / 0
1 / -2
5 / 4

2.  Sketch the first line that your robot will need to use in order to move from the first target to the second

3.  Write the slope of this line: ______

4.  Write the y-int of this line: ______

5.  Write the equation of this line: ______

6.  Repeat all of those steps in order to move the robot into the other quadrants. Write the equations in this table.

7.  If another mission used the following paths would the rover be able to avoid all obstacles?

Graph the equations given and then plot the obstacles. Decide if it would be a successful mission and explain why or why in the space below or on a separate sheet:

Y = 3x +2 / Y = -1/2x + -2 / Y = -2/3x + 6 / Y = 3/4 x + -6

Obstacles:

x / y
5 / 1
-2 / 3
-1 / 4
-5 / 3

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