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Proportional relationships
Find the constant of variation: graph

 The three-toed 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.

$slope=\frac{change\;in\;y}{change\;in\;x}=\frac{6-0}{1-0}=\frac{6}{1}=6$

The slope is 6. The constant of variation is 6 ft per min.