Question

for the point ( p(-25,19) ) and ( q(-18,19) ), find the distance ( d(pq) ) and the coordinates of the midpoint ( m ) of the segment ( pq ). what is the distance? (simplify your answer. type an exact answer, using radicals as need.)

Explanation:

Step1: Apply the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For \(P(-25,19)\) and \(Q(-18,19)\), \(x_1=-25,y_1 = 19,x_2=-18,y_2 = 19\).

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Step2: Simplify the expression

\(\sqrt{7^2}=7\)

Answer:

\(7\)