Question

SOMEBODY PLEASE HELP ME

Answer 1

To find the distance between the two points, we must use the distance formula

 ⇒ Distance Formula ⇒ $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

• $(x_1,y_1): one_.point_.on_. the_.line$
• $(x_2,y_2):another_.point_.on_.the_.line$

Now let's consider the information:

• $(x_1,y_1): (-10,-9)$
• $(x_2,y_2):(-1,-5)$

Let's solve:    

    $Distance_.between_.EG = \sqrt{(-5--9)^2+(-1--10)^2} =\sqrt{4^2+9^2}\\Distance_.between_.EG=\sqrt{16+81} \\Distance_.between_.EG =\sqrt{97} \\Distance_.between_.EG=9.85$

Thus by rounding to the nearest tenth

  ⇒ Answer: 9.9

Hope that helps!