Question

Hello, I need help with this practice problem, thank you!

Answer 1

In order to find the distance between the given points, use the following formula:

`d=\sqrt[]{(x_2-x_1_{}^{})^2+(y_2-y_1)^2}`

where (x1,y1) and (x2,y2) are the coordinates of the points.

In this case, you have:

(x1,y1) = K(1,-1)

(x2,y2) = F(6,-9)

Replace the previous values of the parameters into the formula for d and simplify:

`\begin{gathered} d=\sqrt[]{(6-1)^2+(-9-(-1))^2} \\ d=\sqrt[]{(5)^2+(-9+1)^2} \\ d=\sqrt[]{25+(-8)^2}=\sqrt[]{25+64} \\ d=\sqrt[]{89} \end{gathered}`

Hence, the distance between K and F points is √89.