Although it is possible to fit a quadratic model to 4 time points, so few points provide very little support for the fit. Unless I had a strong theoretical foundation for using the quadratic model, I probably would incorporate time as a classification (discrete) factor.
If the relationship between wt and time is quadratic and if by "slope" you mean the parameter associated with the linear term in the model, then what does slope measure that is of use to you? Looking at only slope in a quadratic model does not make a lot of sense to me, but there may be something about your context that justifies looking at slopes.
If time is incorporated as a classification factor and you want to estimate polynomial trends (including linear), then see SAS Usage Note 22912. The examples use GLM, but the ideas are the same for MIXED. As the Usage Note illustrates, regression is interchangeable with ANOVA with polynomial contrasts.
If you are interested solely in the linear trend (even if the data appear to follow a quadratic trend), then you could just fit a linear model and skip the need for contrast statements.
I hope this helps.
... View more