Q. 7 - Geometry

Question

Use the distance formula to find the distance between the two points.

 (-8, 6) and (0, 0)

Step-by-Step Solution

Answer

The distance is 10.

Step-1 – Given

The given points are (-8, 6) and (0, 0). 

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

Step-3 – Calculation

$Let \left(x_1,y_1\right)\text{ = }\left(-8,6\right)\text{ and }\left(x_2,y_2\right)\text{ = }\left(0,0\right)\text{.}$

Using the distance formula $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\left[d=\text{distance}\right]\text{ We get:}$

$\begin{array}{l}d=\sqrt{{\left(0-\left(-8\right)\right)}^2+{\left(0-6\right)}^2}\\ d=\sqrt{{\left(0+8\right)}^2+{\left(0-6\right)}^2}\\ d=\sqrt{{\left(8\right)}^2+{\left(-6\right)}^2}\\ d=\sqrt{64+36}\\ d=\sqrt{100}\\ d=10\end{array}$

Hence, the required distance is 10.