Answer:
Sure. Here are the steps on how to find the distance between the given points p1(−5, −2) and p2(−5, 4):
1. Find the change in the x-coordinate. In this case, the change in the x-coordinate is 0.
2. Find the change in the y-coordinate. In this case, the change in the y-coordinate is 4 - (-2) = 6.
3. Square the change in the x-coordinate and the change in the y-coordinate. In this case, 0^2 = 0 and 6^2 = 36.
4. Add the two squared values together. In this case, 0 + 36 = 36.
5. Take the square root of the sum. In this case, sqrt(36) = 6.
6. Round the answer to the nearest hundredth. In this case, 6 rounded to the nearest hundredth is 6.00.
Therefore, the distance between the given points p1(−5, −2) and p2(−5, 4) is 6.00.