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f(3)=4 and f(0)=9 Write an equation for the linear function f satisfying the given conditions.

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2 Answers

f(3) = 4

f(0) = 9

first point is (3,4)

second point (0, 9)

now we figure out the slope using m = ( y2 - y1)/(x2 - x1)

so,     m = (9 - 4)/(0 - 3) = -5/3

we use this formula to get equation of line:

y = mx + b

let's use point one:

4 = (-5/3)(3) + b

4 = -5 + b

so,

b = 9

therefore,

y = (-5/3)x + 9

f(3) = 4    f(0) =9
 
  Y = mx + b
 
   m =  (9 -4) / (0 - 3) = -5/3
 
    b = 9
 
    Y = - 5/3 X + 9

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