Question

Find the distance between the two points in simplest radical form. (-9,8) and (-3, -1)

Answer 1

Answer:

The distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units

Step-by-step explanation:

Given the points

• (-9, 8)

• (-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

$d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

   $=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}$

   $=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}$

   $=\sqrt{36+81}$

   $=\sqrt{117}$

   $=3\sqrt{13}$ units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units