Given:
The two points are,
[tex]\begin{gathered} (1,8) \\ (-3,3) \end{gathered}[/tex]Required:
To find the distance between the given two points.
Explanation:
Distance between the two points (x1,y1) and (x2,y2) can be calculated by using the formula,
[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]Now the distance between the points (1,8) and (-3,3) is,
[tex]\begin{gathered} \sqrt{(-3-1)^2+(3-8)^2} \\ =\sqrt{(-4)^2+(-5)^2} \\ =\sqrt{4^2+5^2} \\ =\sqrt{16+25} \\ =\sqrt{41} \end{gathered}[/tex]Final Answer:
The distance between given two points is,
[tex]\sqrt{41}units[/tex]
