SOLUTION: Find a formula for the line intersecting the graph of f(x) at x=1 and x=19 where f(x)= 362/x^2+1

Algebra ->  Equations -> SOLUTION: Find a formula for the line intersecting the graph of f(x) at x=1 and x=19 where f(x)= 362/x^2+1       Log On


   

Question 317652: Find a formula for the line intersecting the graph of f(x) at x=1 and x=19 where
f(x)= 362/x^2+1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%281%29=362%2F%281%5E2%2B1%29=362%2F2=181
f%2819%29=362%2F%2819%5E2%2B1%29=362%2F362=1
Linear functions have the form, y=mx%2Bb
Calculate the slope, m,using the two points, (1,181) and (19,1)
m=%28y2-y1%29%2F%28x2-x1%29=%281-181%29%2F%2819-1%29=-180%2F18=-10
Then use either point to find b.
y=-10x%2Bb
1=-10%2819%29%2Bb
1=-190%2Bb
b=191
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highlight%28y=-10x%2B191%29
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