Consider the line L containg the points (-3,8)and (6,-4) what is the length of the hypotenuse of the right triangle formed b the intersection of L and the x and Y axes

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- October 26th 2006, 06:39 PMDragonLines
Consider the line L containg the points (-3,8)and (6,-4) what is the length of the hypotenuse of the right triangle formed b the intersection of L and the x and Y axes

- October 26th 2006, 07:36 PMSoroban
Hello, Dragon!

Did you make a sketch?

Quote:

Consider the line containg the points (-3,8)and (6,-4).

What is the length of the hypotenuse of the right triangle

formed by the intersection of and the - and -axes?

Code:`* (-3,8) |`

* |

* Q|

*

| * P

- - - - - - - - - + - - - - - * - - - - - - -

| * (6,-4)

| *

| *

**Game plan**

The line contains the points (-3,8) and (6,-4).

. . We want the equation of that line.

Then we want its x-intercept and y-intercept .

. . Then we want the distance .

The slope of line is: .

The equation of the line through (6,-4) with slope is:

. .

For the -intercept, let and solve for

. . . . . -intercept:

For the -intercept, let and solve for

. . . . . -intercept:

The distance from to is:

. .