The slope is -1/2.
To find slope, what we need to do is calculate rise/run beginning at the y-intercept, which is also known as the point where the line crosses the y-axis. The y-intercept is (0, 3).
With this in mind, we can calculate rise (which is how we move vertically) and run (which is how we move horizontally):
The point moves down 1 unit, which means the slope is negative. It moves 2 units to the right, which means the slope is -1/2.
The slope intercept form equation would look like:
y = -1/2x + 3
Answer Recap: The slope is -1/2.