# algebra

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A boat is worth \$7,000 when it is 5 years old and \$2,000 when it is 10 years old. What is the slope intercept equation?

• algebra -

You have two points: (5,7000) and (10,2000)

the two-point equation for the line is thus

(y-7000)/(x-5) = (2000-7000)/(10-5)
or, after rearranging things a bit:

y = -1000x + 12000

That is, the value started at \$12,000, and depreciates \$1000/year

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