There are a number of ways to decide which slope field goes with which differential equation. For example, the first equation says that slopes will be positive when `y` (the dependent variable) is positive, and slopes will be negative when `y` is negative. The second equation says that slopes will have the same sign as `t`, positive on the right and negative on the left. Thus, the slope field for the first equation is Figure 1, and the slope field for the second equation is Figure 2.
Another way to decide is to notice that in Figure 1 all the slopes along any horizontal line are the same. Thus, slope depends only on `y`, not on `t`, as in the first differential equation. Similarly, in Figure 2 the slopes along any vertical line are all the same, so slope depends only on `t`, not on `y`.
Some other features you might have used: