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.) identify the trend of the graph
Instructions
1. Type your desired coordinates of points A and B in the input box.
2. Find the slope of a line given two points. If the computed value of your slope is undefined then type either infinity symbol (-∞ or ∞) or question mark symbol "?". 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.
Note: In Geogebra, if the value of your divisor is 0 then the quotient is either infinity symbol (-∞ or ∞) or question mark (?).
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 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.
3.) 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.
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 greater than the y-coordinate of Point A. Does the line have a positive or negative value of slope? Why? Describe the type of 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 type of line that passes through Point A and Point B.
6.) 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 type of line that passes through Point A and Point B.
7. 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 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?