Question

find the distance ( d(p_1,p_2) ) between the given points ( p_1 ) and ( p_2 ).
( p_1=(3,2) )
( p_2=(-6,2) )
( d(p_1,p_2)=square )
(simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify the coordinates

Let \(P_1=(x_1,y_1)=(3,2)\) and \(P_2=(x_2,y_2)=(-6,2)\)

Step2: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Substitute \(x_1 = 3,y_1 = 2,x_2=-6,y_2 = 2\) into the formula:

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Step3: Simplify the square root

\(\sqrt{81}=9\)

Answer:

\(9\)