Slope 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?
(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?
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