Question

For Exercises 6-9, find the coordinates of each pointdescribed in relation to line segment CD.6. of the way from C to D7. of the way from D to C8. of the way from C to D9. of the way from D to Cnim nm10. What is the distance formula?

Answer 1

Step 1

State the formula for the distance of a line.

`d=\sqrt[]{(x_2-x_1)+(y_2-y_1)}`
`\begin{gathered} C=(-1,7) \\ D=(5,1) \end{gathered}`

Step 2

Find the length of line CD

`\begin{gathered} d=\sqrt[]{(5-(-1))^2+(1-7)^2_{}} \\ d=\sqrt[]{6^2+(-6)^2} \\ d=\sqrt[]{36+36} \\ d=\sqrt[]{72} \\ d=6\sqrt[]{2} \end{gathered}`

Step 3

Find 1/3 of the way from C and D

`=(1)/(3)*6\sqrt[]{2}=2\sqrt[]{2}`

Step 4