# Math.. how to get linear function

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The total length y is a linear function of the tail length x with great accuracy. The domain is the interval from 30mm to 200mm, and the range is the interval from 200mm to 1400 mm. The following two points are given: X0= 60mm, Y0= 455mm, X1=140mm, Y1= 1050mm. Find the equation of y as function of x. The answer (equation) is y=7.44x+9 but how do I get that???

• Math.. how to get linear function -

Y=mx +b

yo=m*xo+b
455=60m+b
y=m*x1 + b
1050=m*140+b

You have two equations. Subtract the first from the second.
(1050-455)=m(140-60)+b(1-1)
solve for m,
then, put that m in either of the equations, and solve for b.

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