Question

The coordinates of the point A are (10,-5) and the coordinates of point B are(0, -5). What is the distance, in units, between the point A and point B?

Answer 1

Given:

The coordinates of the point A, (x1, y1)=(10, -5).

The coordinates of the point B, (x2, y2)=(0,-5).

The expression for the distance between points A and B is,

`D=\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

Substitute the values.

`\begin{gathered} D=\sqrt[]{(0-10)^2+(-5-(-5)^{})^2} \\ D=\sqrt[]{10^2+0} \\ D=10 \end{gathered}`

Therefore, the distance between points A and B is 10 units.