Respuesta :
[tex]\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}[/tex]
The distance between two points in graph can be calculated by the formula. The distance between the points is 10.049.
The distance (d) between two points (x1,y1) and (x2,y2),
[tex]d = \sqrt {((X2-X1)^2+(Y2-Y1)^2)}[/tex]
Where,
X1 = -2
X2= 8
Y1 = 3
Y2 = 2
Put the values in the formula,
[tex]d = \sqrt { (8--2)^2+(2-3)^2}\\\\d =\sqrt { ((10)^2+(-1)^2)}\\\\d = \sqrt {(100+1)}\\\\d = 101[/tex]
The distance between the points is 10.049.
To know more about distance,
https://brainly.com/question/18001234
