Question

lesson 08: visualizing and graphing data score: 19.5/100 answered: 4/15 question 5 find the distance between the points (1,3) and (3,4) distance = give an exact answer. simplify any radicals. question help: video message instructor submit question

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the values of coordinates

Here $x_1 = 1,y_1 = 3,x_2 = 3,y_2 = 4$.

Step3: Substitute values into formula

$d=\sqrt{(3 - 1)^2+(4 - 3)^2}=\sqrt{2^2+1^2}=\sqrt{4 + 1}=\sqrt{5}$.

Answer:

$\sqrt{5}$