SOLUTION: What is the distance between the two given points: (-3, -4) and (3,4)

Algebra ->  Length-and-distance -> SOLUTION: What is the distance between the two given points: (-3, -4) and (3,4)      Log On


   

Question 1091352: What is the distance between the two given points: (-3, -4) and (3,4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-3, -4), we can say (x1, y1) = (-3, -4)
So x%5B1%5D+=+-3, y%5B1%5D+=+-4


Since the second point is (3, 4), we can also say (x2, y2) = (3, 4)
So x%5B2%5D+=+3, y%5B2%5D+=+4


Put this all together to get: x%5B1%5D+=+-3, y%5B1%5D+=+-4, x%5B2%5D+=+3, and y%5B2%5D+=+4

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (-3, -4) and (3, 4)



d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29


d+=+sqrt%28%28-3+-+3%29%5E2+%2B+%28-4+-+4%29%5E2%29 Plug in x%5B1%5D+=+-3, y%5B1%5D+=+-4, x%5B2%5D+=+3, and y%5B2%5D+=+4


d+=+sqrt%28%28-6%29%5E2+%2B+%28-8%29%5E2%29


d+=+sqrt%2836+%2B+64%29


d+=+sqrt%28100%29


d+=+10

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

Answer:


The distance between the two points (-3, -4) and (3, 4) is exactly 10 units