Question

Find the distance between m (-2,3) and n (8,2)

Answer 1

Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(-2,3)....x1 = -2 and y1 = 3
(8,2)...x2 = 8 and y2 = 2
now we sub and solve
d = sqrt ((8 - (-2)^2 + (2 - 3)^2)
d = sqrt ((8 + 2)^2 + (-1^2)
d = sqrt (10^2) + (-1^2)
d = sqrt (100 + 1)
d = sqrt 101
d = 10.05 <==

Answer 2

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ 8}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[8-(-2)]^2+[2-3]^2}\implies d=\sqrt{(8+2)^2+(2-3)^2} \\\\\\ d=\sqrt{10^2+(-1)^2}\implies d=\sqrt{101}$