Homework Help: math

Posted by rahul patel on Sunday, October 23, 2011 at 10:19pm.

hooke's law determine that if a small weight is suspended from a spring,the length of the stretched spring y, is a linear function of the weight, x.
determine the linear equation if the unstretched spring is 12 inch and weight of 2 lbs stretches it to 16 inch

math - Steve, Monday, October 24, 2011 at 10:07am
Looks like they provide data for two points. If it's a linear function, then those two points will provide the equation for the line.

Two points (0,12)(2,16)

Letting y be the length,

(y-12)/(x-0) = (16-12)/(2-0)
(y-12)/x = 4/2
y-12 = 2x
y = 2x + 12

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