Question

Fine the distance between the pair of points. N(-5,-15), P(-5,-2)

Answer 1

The formula to find the distance between two points with coordinates (x₁,y₁) and (x₂,y₂) is:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Substitute x₁=-5, x₂=-5, y₁=-15 and y₂=-2 to find the distance between the given points:

`\begin{gathered} d=\sqrt[]{((-5)-(-5))^2+((-15)-(-2))^2} \\ =\sqrt[]{(-5+5)^2+(-15+2)^2} \\ =\sqrt[]{(0)^2+(-13)^2} \\ =\sqrt[]{0+169} \\ =\sqrt[]{169} \\ =13 \end{gathered}`

Therefore, the distance between the points N and P is:

`13`