The threetoed sloth is an extremely slow animal. On
the ground, it travels at a speed of about 6 feet per
minute. This is the graph for the distance (y) a sloth will travel in x minutes. Find the constant of variation. 


The constant of variation is equal to the slope.
slope 
= 

change in y 
_________ 
change in x 


Find any two points on the line.
Two points on the line are (0, 0) and (1, 6). Put those points into the slope formula.
The slope is 6. The constant of variation is 6 ft per min.