00:01
For problem 52, we need to find the distance between the points 2 -92 and 5 -2.
00:07
We can do so using the distance formula written in blue.
00:11
The distance formula is given in terms of the two points, so it might be helpful to label the two points here using the same notation.
00:20
The first point listed is x1 and y -1.
00:25
The subscript literally meaning coming from the first point, so x1 is the x value from the first point.
00:34
Similarly, we can name the second point, x2, y2.
00:40
Now that we have each of those values identified, we can substitute them into the distance formula.
00:47
So the distance between these two points is equal to the square root of the difference in y values, 5 minus 2 quantity squared, plus the difference in y values, 2 minus negative 2, quantity squared.
01:10
From here, we can just simplify...