Find
a linear function f(x) with gradient -7 which is such that f(5)=12.
Solution.
m=-7,
points = [5,12] and [x, f(x)]
m
= y2-y1/x2-x1
-7
= f(x) – 12/x-5
f(x)-12=-7(x-5)
[after cross multiply]
f(x)-12=-7x+35
f(x)=-10x+35+12
f(x)=-10x+47
Hence a linear function is f(x) = -10x+47.
TRY
THIS……….
Give
out a linear function f(x) with Gradient
8 and f(4)=14
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