Answer:
-3/5
Explanation:
To find the slope, first we'll find the change in y (how far up or down the end is from the start), then the change in x (how far left or right the end is from the start). After that, we can divide the change in y by the change in x, and we'll have our slope.
To find the change in y, we simply have to subtract the y value of the first point from the second. The first point's y value is 4, and the second's is 7.
7 - 4 = 3
Therefore, the second point is 3 units higher than the first, and our change in y is 3.
Next up is the change in x, and we can basically do the same thing. The first x coordinate is 2, the second is -3.
-3 - 2 = -5
Therefore, the second point is -5 units to the right of the first, or just 5 units left. The change in x is -5.
Now that we have the change in x and the change in y, we can calculate the slope by dividing.
(change in y)/(change in x) = slope
3/-5 = slope
We can move the negative to apply to the entire fraction, since -3/5 = 3/-5, but after that we can't simplify any further. Slopes tend to be portrayed in fractions, so our final answer is -3/5, or negative three fifths.