解:?$(1)$?設(shè)一次函數(shù)的表達式為?$y=kx+b$?
將點?$A(-1,$??$2)$?和點?$B(2,$??$6)$?代入,得?$\begin {cases}-k+b=2\\2k+b=6\end {cases},$?解得?$\begin {cases}k=\frac 43\\b =\frac {10}3\end {cases}$?
∴此一次函數(shù)的表達式為?$y=\frac 43x+\frac {10}3$?
?$ (2)$?令?$y=0,$?得?$0=\frac 43x+\frac {10}3,$?解得?$x=-\frac 52,$?∴點?$C$?的坐標為?$(-\frac 52,$??$0)$?
令?$x=0,$?得?$y=\frac {10}3,$?∴點?$D$?的坐標為?$(0,$??$\frac {10}3)$?