Question

Find the distance between two points ( -1,1) and (2,-4)

Answer 1

Answer:

The distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$  or d = 5.8 units.

Step-by-step explanation:

Given the points

• (-1, 1)

• (2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

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

substitute (x₁, y₁) =  (-1, 1)   and  (x₂, y₂) = (2, -4)

   $=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}$

   $=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}$

   $=\sqrt{3^2+5^2}$

   $=\sqrt{9+25}$

   $=\sqrt{34}$  units

or

$d = 5.8$ units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

$d=\sqrt{34}$  or d = 5.8 units.