To find the distance between the two points, we must use the distance formula
⇒ Distance Formula ⇒ [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
- [tex](x_1,y_1): one_.point_.on_. the_.line[/tex]
- [tex](x_2,y_2):another_.point_.on_.the_.line[/tex]
Now let's consider the information:
- [tex](x_1,y_1): (-10,-9)[/tex]
- [tex](x_2,y_2):(-1,-5)[/tex]
Let's solve:
[tex]Distance_.between_.EG = \sqrt{(-5--9)^2+(-1--10)^2} =\sqrt{4^2+9^2}\\Distance_.between_.EG=\sqrt{16+81} \\Distance_.between_.EG =\sqrt{97} \\Distance_.between_.EG=9.85[/tex]
Thus by rounding to the nearest tenth
⇒ Answer: 9.9
Hope that helps!
