Given:
The two points are M(-10, 3) and P(-4,-8).
To find:
The distance between the points M and P.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between the given points is
[tex]MP=\sqrt{(-4-(-10))^2+(-8-3)^2}[/tex]
[tex]MP=\sqrt{(-4+10)^2+(-11)^2}[/tex]
[tex]MP=\sqrt{(6)^2+(-11)^2}[/tex]
[tex]MP=\sqrt{36+121}[/tex]
On further simplification, we get
[tex]MP=\sqrt{157}[/tex]
[tex]MP=12.529964[/tex]
[tex]MP\approx 12.5[/tex]
Therefore, the distance between the given points M and P is 12.5 units.
