Question

Find the distance between the points (-4,3),(2,-3)

Answer 1

Answer:

Step-by-step explanation:

distance=√[{2-(-4)}² + {(-3)-3}²]

=√[(6)² + (-6)²]

=√(36+36)

=√72

=6√2 unit

Answer 2

Given,

Two points have coordinates (-4,3) and (2,-3).

To find,

The distance between the points (-4,3) and (2,-3).

Solution,

The distance between two points (x1,y1) and (x2, y2) can be calculated as-

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

Let us assume x1 = -4 , x2 = 2 , y1 = 3 and y2 = -3.

Similarly, the distance between the points (-4,3),(2,-3) is:

   ⇒  $\sqrt{2-(-4)^{2} +(-3-3)^{2} }$

  ⇒   $\sqrt{(6)^{2} +(-6)^{2} }$

  ⇒   $\sqrt{36+36}$  

  ⇒    $6\sqrt{2}$.

Hence, the distance between the points (-4,3) and (2,-3) is $6\sqrt{2}$.