1.) y=aebx
Taking log on both sides,
lny=lna+bx×lnelny=lna+bxlny=bx+lna
Let lny=Y and x=X
Y = bX + lna
on comparing we get
Slope = b and y-intercept = lna
2.) (y+x)(y−x)=a
y2−x2=a
Let y2=Yand x2=X
Then, Y−X=a
⇒Y=X+a
On comparing we get
Slope= 1 and y-intercept= a
3.) y=acos2x+bsin2x
Let cosx=t theny=at2+b(1−t2)y=(a−b)t2+by=(a−b)cos2x+b
Let y= Y and cos2x=X
Y= (a-b)X +b
On comparing we get
Slope= (a-b) and y-intercept= b
4.)
yx2=cTaking log on both sideslny+2lnx=lncLet lny=Y and lnx=XY+2X=lncY=−2X+lnc
On comparing we get
Slope= -2 and y-intercept= lnc
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