We cannot plot the scatterplot of two variables with a third continuous covariate in 2D.

The only thing we can do is plotting the residuals against the fitted values in a multivariate regression model.

And one more thing is that the coefficient "r" in the partial correlation analysis is not equal to the coefficient (Beta) in the regression model. So I think placing the r value in the Linear regression line in the graph is not reflecting the nature of the analysis.

Best,