Question

Use the distance formula to find the distance between the points given.(3,4), (4,5)

Answer 1

Solution:

To find the distance between two points, the formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where

$\begin{gathered} (x_1,y_1)=(3,4) \\ (x_2,y_2)=(4,5) \end{gathered}$

Substitute the values of the variables into the formula above

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

Hence, the answer is

$\sqrt{2}\text{ units}$