
Math Help  Relations Slopes Rates  Game LRLT3 Tips:  For this game, it's not the size of one coordinate that counts, its the ratio that counts.  The individual numbers in the ratio 4/2 are larger than the numbers used in the ratio 3/1, but the ratio itself 4/2 = 2 is actually smaller than 3/1 = 3.  Example 1: The rate = slope from a point P(2,6) to a point Q(3,10) is calculated as a ratio = slope = (change in y)divided by(change in x) = (106)/(32) = (4)/(1)= 4. The rate = 4 represents the speed with which y changes, relative to changes in x.  Example 2: The rate of change in y=3x and its ordered pairs (1,3), (2,6), (3,9), (4,12),... can be found using any two of its ordered pairs. Using (1,3) and (2,6) the rate of change = (63)/(21) = 3/1 = 3 or using (2,6) and (3,9) the rate of change = (96)/(32) = 3/1 = 3 or using (1,3) and (4,12) the rate of change = (123)/(41) = 9/3 = 3 .  The rate of change in a relation such as y=mx and its ordered pairs (x,y) can be measured by the ratio = (change in y)/(change in x) = m = slope. Generally, the idea is that the average rate = (y_{2}y_{1})/(x_{2}x_{1}) = m = slope.  It may take a minute to load the game at dialup speeds.  The game can be played using the mouse by itself or using the keyboard by itself.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  Adjust the game's speed by pressing the + or  key repeatedly. 
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