help? i don’t understand this

I believe the answer is - 2/5 (negative two-fifths).

Step-by-step explanation:

First, you see if the answer is positive or negative:

Since the line is going up from right to left (the bottom arrow is on the right, top arrow is on the left), this means the slope will be negative.  A line that looks like this is always negative.

Now we calculate the slope:

The formula to find slope is rise/run (rise over run).  Since this is the formula, you need to find the rise first.  Start at the point on the 4th Quadrant.  Notice the dark blue line is going straight through the point.  Then notice the part where the line goes through in the top part of the arrow (the 2nd Quadrant).  Count the units up (rise) on the line in the 4th Quadrant until they vertically are congruent, or count 4 units up.  Then count to the left (run) until you meet the other dark blue line in the 2nd Quartile, or count 10 units to the left.  Now you make the fraction 4/10, but since this is a negative slope, the answer is     - 4/10.

But don't forget!  You always need to remember (if necessary) to simplify!!

- 4/10 = - 2/5

I hope this wasn't too confusing and helped you out :)