Determine the distance between points P1 and P2:
$P_{1}(3,5) P_{2}(8,-15)$

Answer

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Answer

Final Answer: The distance between points $P_{1}(3,5)$ and $P_{2}(8,-15)$ is $\boxed{20.615528128088304}$

Steps

Step 1 ：Given points $P_{1}(3,5)$ and $P_{2}(8,-15)$

Step 2 ：The distance between two points in a 2D plane can be calculated using the distance formula derived from the Pythagorean theorem. The distance between points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Step 3 ：Substitute $x_1=3$, $y_1=5$, $x_2=8$, and $y_2=-15$ into the formula

Step 4 ：Calculate the result to get the distance

Step 5 ：Final Answer: The distance between points $P_{1}(3,5)$ and $P_{2}(8,-15)$ is $\boxed{20.615528128088304}$

Determine the distance between points P1 and P2: $P_{1}(3,5) P_{2}(8,-15)$

Answer

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Determine the distance between points P1 and P2:
$P_{1}(3,5) P_{2}(8,-15)$