Question

4. The coordinates of point C are(0, -2). The coordinates of point D are (0,9). Find the length of the line segments with end points C and D.

Answer 1

We can find the length of the line with end points C and D using the formula for the distance between two points:

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

then, in this case we have the following:

`\begin{gathered} C=(0,-2) \\ D=(0,9) \\ \Rightarrow d(C,D)=\sqrt[]{(0-0)^2+(9-(-2))^2} \\ =\sqrt[]{(9+2)^2}=\sqrt[]{11^2}=11 \\ d(C,D)=11 \end{gathered}`

therefore, the length of the line with end points C and D is 11 units.