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:
$m= \frac{ y_{2} - x_{1} }{ x_{2} - x_{1}}$
$m = \frac{7-3}{5-1} = 1$
Then, we can find the length using the Pythagorean Theorem:
$d = \sqrt{ (7-3)^{2} + (5-1)^{2}} = 4 \sqrt{2}$
So, the answer is 5.66