Slope fields are a way to visualize the *
family of solutions
* for a differential equation. This concept relates directly to finding an indefinite integral, and how the solution to the indefinite integral has a *
family of solutions
* that you acknowledge exists when you put that *
+C
* at the end of the solution.

Remember that a differential equation is an *
equation for finding
*slopes. You really want to use the given differential equation to *
find the
*slope at different easy to find points, (*
x
**
,
**
y
*). This is really going all the way back to our derivative triangle and the value of the slope.

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