Answer:
distance = 10
Explanation:
The distance between the two points (x1, y1) and (x2, y2) can be calculated as
[tex]\text{ distance = }\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
So, by replacing (x1, y1) by P(-8, 0) and (x2, y2) by F(-2, -8), we get that the distance is
[tex]\begin{gathered} \text{ distance = }\sqrt{(-8-0)^2+(-2-(-8))^2} \\ \text{ distance = }\sqrt{(-8)^2+(-2+8)^2} \\ \text{ distance = }\sqrt{(-8)^2+(6)^2} \\ \text{ distance = }\sqrt{64+36} \\ \text{ distance = }\sqrt{100} \\ \text{ distance = 10} \end{gathered}[/tex]
Therefore, the distance between the points is 10 units
