Question 170838: Leslie dives off a block at the edge of the pool. She enters the water 8 ft from the side of the pool. Leslie is 1 ft under water when she is 11 ft from the side of the pool. Write an equation that gives Leslie's depth, y, in terms of her distance from the side.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Leslie dives off a block at the edge of the pool. She enters the water 8 ft from the side of the pool. Leslie is 1 ft under water when she is 11 ft from the side of the pool. Write an equation that gives Leslie's depth, y, in terms of her distance from the side.
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You have two points relating (distance from side, depth)
(8,0) and (11,-1)
slope = (-1-0)/(11-8) = -1/3
intercept: 0 = -(1/3)8 + b
b = 8/31
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Equation:
depth = (-1/3)distance + 8/3
y = (-1/3)distance + 8/3
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Cheers,
Stan H.
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