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GeoGebraGeoGebra Classroom

Final Project: Slope of a Line Given Two Points

Bonbon NHS Group

MARY FRANCIS M. LOTERTE LOUIE B. LASALITO

Objectives

This applet will enable the students to: a.) find the slope of a line given two points b.) determine the trend of the graph

Instruction

1. Type your desired coordinates of points A and B in the input box. 2. Find the slope of a line given two points. Type your answer in the box provided. If the computed value of your slope is undefined then check the box corresponding to your answer. The word "CORRECT" will display on the screen if your answer is RIGHT. 3. Explore and investigate the trend of the graph using this applet.

Guide Questions

1.) Set the x-coordinate of Point B is greater than the x-coordinate of Point A and the y-coordinate of Point B is greater than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 2.) Set the x-coordinate of Point B is less than the x-coordinate of Point A and the y-coordinate of point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 3.) Set the x-coordinate of Point B is greater than the x-coordinate of Point A and the y-coordinate of Point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 4.) Set the x-coordinate of Point B is less than the x-coordinate of Point A and the y-coordinate of point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 5.) Set the y-coordinates of points A and B to the same value while the x-coordinates of points A and B are different. What do you notice about the position of Point A relative to B? What is the value of the slope? Describe the type of line that passes through Point A and Point B. 6.) Set the x-coordinates of points A and B to the same value while the y-coordinates of points A and B are different. What do you notice about the position of Point A relative to B? What is the value of the slope? Describe the type of line that passes through Point A and Point B. 7. How did you find the slope of a line given two points? 8. What patterns can you make in determining the trend of the graph?

Guide Questions

1.)The coordinates of points on a graph are given in the form( x,y). What do x and y represent on the graph? Which coordinate of a point changes when the point is moved vertically? Which coordinate of a point changes when the point is moved horizontally? 2.) Set the x-coordinate of Point B is greater than the x-coordinate of Point A and the y-coordinate of Point B is greater than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 3.) Set the x-coordinate of Point B is less than the x-coordinate of Point A and the y-coordinate of point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 4.) Set the x-coordinate of Point B is greater than the x-coordinate of Point A and the y-coordinate of Point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 5.) Set the x-coordinate of Point B is less than the x-coordinate of Point A and the y-coordinate of point B is less than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the trend of the line that passes through Point A and Point B. 6.) Set the y-coordinates of points A and B to the same value while the x-coordinates of points A and B are different. What do you notice about the position of Point A relative to B? What is the value of the slope? Describe the type of line that passes through Point A and Point B. 7.) Set the x-coordinates of points A and B to the same value while the y-coordinates of points A and B are different. What do you notice about the position of Point A relative to B? What is the value of the slope? Describe the type of line that passes through Point A and Point B. 8. How did you find the slope of a line given two points? 9. What patterns can you make in determining the trend of the graph?