Question

use the distance formula to find the distance between the two points (-4.75,-8) and (3.25,5.5)? round to the nearest tenths?

Answer 1

Let the coordinates of points be,

`\begin{gathered} (x_1,y_1)=\mleft(-4.75,-8\mright) \\ (x_2,y_2)=\mleft(3.25,5.5\mright) \end{gathered}`

The distance between the two points using distance formula is,

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(3.25-(-4.75))^2_{}+(5.5-(-8))^2} \\ =\sqrt[]{8^2+13.5^2} \\ =15.7\text{ } \end{gathered}`

Therefore, distance between the two points is 15.7.