f(x)= -1.4315x+10.2315
Step-by-step explanation:
Selecting points (1,8.8) and (4,4.5056)
An equation in the form of y=mx+b can be generated where
y=f(x), m is the slope of the line and b is the y-intercept
Finding m=Δy values/Δx values
Δy = 4.5056-8.8 = -4.2944
Δx = 4-1 =3
m= -4.2944/3 = -1.4315
Selecting point (1,8.8) , m= -1.4315 and (x,y) the equation can be written as
m=Δy/Δx
-1.4315 = y-8.8/ x-1
apply cross-product as
-1.4315 ( x-1) =y -8.8
-1.4315x +1.4315 = y-8.8
-1.4315 x + 10.2315 =y
⇒⇒ y= -1.4315 x +10.2315
The equation is f(x)= -1.4315x + 10.2315
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Linear equations :https://brainly.com/question/11954757
Keywords : two points, equation, function
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