\fLinear form y=mx+c a. a 1 y= + x b writing in the form y=mx+c a 1 y= + x b y=a ( 1x )+ 1b a=slope intercept= b= b. 1 b 1 y intercept y=a ebx y bx =e a taking natural log on both sides ln ( ay )=ln e bx ln yln a=bx ln y=ln abx ln y=bx +ln a b=(slope) yintercept =ln a a=e c. y= yintercept a b+ x find reciprocal 1 1 = ( x +b ) y a 1 x b = + y a a a= 1 slope yintercept = b a b= yintercepta d. y= a x b+ x reciprocal 1 b+ x = y a x 1 b x = + y ax ax 1 b 1 1 = ( x )+ y a a slope of the graph= b a b=slopea yintercept = a= e. 1 a 1 y intercept b ( x) y=ax e 2 find natural log on both sides ( ( xb )) ln y=ln ax e 2 b ( x ) ln y=ln ax+ ln e ( xb ) ln y=ln ax 2 2 f. a x y= + x b Multiply all through by x x2 xy=a+ b xy= x2 +a b Cannot be transformed to linear g. y=ax^b find log on both sides log y=log ( a x b ) b log y=log a+ log x log y=loga+log xb log y=blog ( x )+ log a b=slope yintercept =log a ( yintercept ) a=lo g Linear form y=mx+c a. a 1 y= + x b writing in the form y=mx+c a 1 y= + x b y=a ( 1x )+ 1b a=slope intercept= b= b. 1 b 1 y intercept y=a ebx y bx =e a taking natural log on both sides ln ( ay )=ln e bx ln yln a=bx ln y=ln abx ln y=bx +ln a b=(slope) yintercept =ln a a=e c. y= yintercept a b+ x find reciprocal 1 1 = ( x +b ) y a 1 x b = + y a a a= 1 slope yintercept = b a b= yintercepta d. y= a x b+ x reciprocal 1 b+ x = y a x 1 b x = + y ax ax 1 b 1 1 = ( x )+ y a a slope of the graph= b a b=slopea yintercept = a= e. 1 a 1 y intercept b ( x) y=ax e 2 find natural log on both sides ( ( xb )) ln y=ln ax e 2 b ( x ) ln y=ln ax+ ln e ( xb ) ln y=ln ax 2 2 f. a x y= + x b Multiply all through by x x2 xy=a+ b xy= x2 +a b Cannot be transformed to linear g. y=ax^b find log on both sides log y=log ( a x b ) b log y=log a+ log x log y=loga+log xb log y=blog ( x )+ log a b=slope yintercept =log a ( yintercept ) a=lo g