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FINAL PROJECT: Slope of a Line Given Two Points

Author:Mary Francis M. Loterte
Topic:Algebra

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 in infinity symbol (-∞ or ∞) or in question mark symbol (?) depending on the value of your dividend. *If the sign value of your dividend is positive then your quotient is (∞). *If the sign value of your dividend is negative then your quotient is (-∞) *If the value of your dividend is zero then your quotient is (?)  



GUIDE QUESTION

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?

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