Find the distance between the points (-3, 2) and (4, -5).

The equation that is used for finding the distance (D) between two points is:

.
Now let's identify the two points you were given. Let's call point A (4,-3) point 1 and that
means that x1 = 4 and y1 = -3. That means that point B (-4, 3) is point 2. Therefore,
x2 = -4 and y2 = 3. (If we had let point A be point 2 and point B be point 1, it wouldn't
make any difference in the answer we get for the distance. It would still work out the
same as below even though the values of x1, y1, x2, and y2 would be changed.)
.
Now all we have to do is substitute our values for x1, x2, y1, and y2 into the distance
equation. When we do we get:

This simplifies to
.
d squaring the terms:
.
D+=+sqrt%2864+%2B+36%29
.
which further reduces to:
.
D+=+sqrt%28100%29
.
and taking the square root gives you the
.
D+=+100