Question

HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct

Answer 1

Answer:
`√(68)` units is the exact length of AB

===============================================

Step-by-step explanation:

Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.

`d = √((x_1-x_2)^2+(y_1-y_2)^2)\\\\d = √((-3-5)^2+(-2-(-4))^2)\\\\d = √((-3-5)^2+(-2+4)^2)\\\\d = √((-8)^2+(2)^2)\\\\d = √(64+4)\\\\d = √(68)\\\\`

Therefore,
`AB = √(68)`