SOLUTION: If a linear function f satisfies the conditions : f ( -3 ) = - 2 and f ( 3 ) = 16 , find f ( x ).

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Question 359151: If a linear function f satisfies the conditions : f ( -3 ) = - 2 and f ( 3 ) = 16 , find f ( x ).

Found 2 solutions by user_dude2008, ewatrrr:
Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!
m=(y2-y1)/(x2-x1)=(16-(-2))/(3-(-3))=18/6=3
m=3
x1=-3
y1=-2

y-y1=m(x-x1)
y-(-2)=3(x-(-3))
y+2=3(x+3)
y=3x+9-2
y=3x+7
Answer: f(x) = 3x+7
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

 f ( -3 ) = - 2 and f ( 3 ) = 16 give us Pt(-3,-2) and Pt(3,16)

Finding the slope using difference in the y values/difference in x values 



slope =  = 18/6 = 3

using the standard slope intercept form of a line

f(x) = 3x + b

Using one of the points(3,16)to solve for b

16 = 9 + b

7 = b

f(x) = 3x + 7







 

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