Graph of v2−x2 for a particle executing SHM is

velocity of oscillator=v=ωA2−x2  ; here ω=angular velocity; A=amplitude; x= displacement square on both sides ⇒v2=ω2A2−ω2x2Let  v2=Y and  x2=XSo,  Y=ω2A2−ω2XThis is of the form Y = mX + c  (equation of a straight line), where  c=ω2A2 and  slope, m=−ω2 .