Question

find the distance d(p1, p2) between the points p1 and p2. p1=(4, -1) p2=(5,6) d(p1, p2)= (simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Recall distance formula

$d(P_1,P_2)=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Step2: Substitute coordinates

$x_1 = 4,y_1=-1,x_2 = 5,y_2 = 6$. Then $d=\sqrt{(5 - 4)^2+(6+1)^2}=\sqrt{1 + 49}=\sqrt{50}=5\sqrt{2}$

Answer:

$5\sqrt{2}$