Question

Find the distance between points (1,3) and (5,7) round the answer to two decimal points

Answer 1

First, let's find the slope of the line through these points because it is the shortest distance between them:

`m= ( y_(2) - x_(1) )/( x_(2) - x_(1))`

`m = (7-3)/(5-1) = 1`
Then, we can find the length using the Pythagorean Theorem:

`d = \sqrt{ (7-3)^(2) + (5-1)^(2)} = 4 √(2)`
So, the answer is 5.66