The velocity- displacement graph of a particle is shown in the figure.
  
The acceleration – displacement graph of the same particle is represented by:

From the graph  $V=\frac{-V_0}{X_0}x+V_0$
Differentiating w.r.t, fine 
$a=\frac{dV}{dt}=\left(\frac{-V_0}{x_0}\right)\left(\frac{dx}{dt}\right)=\left(\frac{-V_0}{x_0}\right)\left(V\right)$ 
$\Rightarrow a=\left(\frac{-V_0}{x_0}\right)[\frac{-V_0}{x_0}x+V_0]\Rightarrow a={\left(\frac{V_0}{x_0}\right)}^{2}x-\frac{{V_0}^2}{x}$   
So, the graph is a st.line with negative intercept.