1. **State the problem:** We are given the equation of line $t$: $$2x - 3y + 7 = 0$$ We need to find the slope of line $t$. 2. **Formula and explanation:** The general form of a line is $$Ax + By + C = 0$$. The slope $m$ of the line is given by $$m = -\frac{A}{B}$$. 3. **Apply the formula:** For line $t$, $A = 2$ and $B = -3$. 4. **Calculate the slope:** $$m = -\frac{2}{-3} = \frac{2}{3}$$ 5. **Interpretation:** The slope of line $t$ is $\frac{2}{3}$, which means for every 3 units increase in $x$, $y$ increases by 2 units. **Final answer:** The slope of line $t$ is $\boxed{\frac{2}{3}}$.