Answer: -1/2
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Explanation:
Let's say we started at (0,2) which is the y intercept of this blue line.
Now let's say we wanted to move to (4,0) which is the x intercept.
To do this, we need to do these two things:
- Move down 2 units
- Move to the right 4 units.
This "down 2, right 4" motion directly determines the slope. The "down 2" is the rise, and the "right 4" is the run.
Slope = rise/run = -2/4 = -1/2
Slope = -1/2
The rise is negative because we are going downhill while moving to the right.
Side note: We can use the slope formula as an alternative route.