Question

Find the differance between the pair of points. (6,4) and (6,-8)

Answer 1

Difference that is distance between two given points (6, 4) and (6, -8) is 14 units.

Solution:

Need to find the difference that is distance between the two points.

Two given points are $(6, 4)$ and $(6, -8)$  

We will be using distance formula to find the distance between two points

According to the distance formula distance d between two points $(x_1, y_1) \ and \ (x_2, y_2)$ is given by  

$\bold{\mathrm{d}=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}}$

In our case $x_1 = 6; \ y_1 = 4; \ x_2 = 6; \ y_2 = -8$

On substituting given values in distance formula we get ,

$\mathrm{d}=\sqrt{(6-6)^{2}+(-8-6)^{2}}$

$\Rightarrow \mathrm{d}=\sqrt{(0)^{2}+(-14)^{2}}$

$\Rightarrow d=\sqrt{196}$

$\Rightarrow \mathrm{d}=14$

Hence, distance between two given points is 14 units.