Open the slope applet. Move point B around the Cartesian

Chapter 1, Problem 144

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Open the slope applet. Move point B around the Cartesian plane with your mouse. (a) Move B to the point whose coordinates are ( 2, 7). What is the slope of the line? (b) Move B to the point whose coordinates are ( 3, 6). What is the slope of the line? SECTION 1.5 Circles 45 (c) Move B to the point whose coordinates are (4, 5). What is the slope of the line? (d) Move B to the point whose coordinates are (4, 4). What is the slope of the line? (e) Move B to the point whose coordinates are (4, 1). What is the slope of the line? (f) Move B to the point whose coordinates are (3, -2). What is the slope of the line? (g) Slowly move B to a point whose x-coordinate is 1. What happens to the value of the slope as the x-coordinate approaches 1? (h) What can be said about a line whose slope is positive? What can be said about a line whose slope is negative? What can be said about a line whose slope is 0? (i) Consider the results of parts (a)(c). What can be said about the steepness of a line with positive slope as its slope increases? ( j) Move B to the point whose coordinates are (3, 5). What is the slope of the line? Move B to the point whose coordinates are (5, 6). What is the slope of the line? Move B to the point whose coordinates are (-1, 3). What is the slope of the line?