Slope = ${s_{lope}} left parenthesis, "f" left parenthesis, "y" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis , "y" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis equals left parenthesis, 0.5 0 7 1 6 7 0 7 9 8 8 5 , 75.5 , right parenthesis Has graph. To audio trace, press ALT+T.fyinput,yinput
Label:
equals=
left parenthesis, 0.5 0 7 1 6 7 0 8 , 75.5 , right parenthesis0.50716708,75.5
7
Since the f(y) is a function of (y), reciprocating the derivative will transform it into Δy / Δx
8
Expression 9: "s" Subscript, "l" "o" "p" "e" , Baseline equals StartFraction, 1 Over "f" prime left parenthesis, "y" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis , EndFraction equals 169.0 5 8 5 9 0 2 2 8slope=1f′yinput
equals=
169.0 5 8 5 9 0 2 2 8169.058590228
9
Finally, express it as y = m * (x - h) + b
10
Expression 11: "y" equals "s" Subscript, "l" "o" "p" "e" , Baseline left parenthesis, "x" minus "f" left parenthesis, "y" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis , right parenthesis plus "y" Subscript, "i" "n" "p" "u" "t" , Baseline Has graph. To audio trace, press ALT+T.y=slopex−fyinput+yinput