Posted by **Xavier** on Saturday, January 12, 2013 at 2:40am.

What is the distance of the line x+6y-7=0 from the origin?

Please help, is my answer -7sqrt37/37 correct? If not, please help me whats the right solution

- Analytic geometry -
**Reiny**, Saturday, January 12, 2013 at 9:01am
If (a,b) is any point, its distance to the line

Ax + By + C = 0 is

|Aa + Bb + C|/(A^2 + B^2)

so your point is (0,0)

distance

= |0+0-7|/(1+36)

= 7/√37

which the probably rationalized .

7/√37 * √37/√37 = 7√37/37

## Answer this Question

## Related Questions

- analytic geometry helps are appreciated - A line with slope 3 is 2 units away ...
- Analytic Geometry - Reflecting points over lines - Let P = (5,1), and let Q be ...
- Analytic Geometry - Given that the slope of a line is 91, what is its ...
- Analytic Geometry - lengths? - Square ABCD has sides of length 4, and M is the ...
- Coordinate geometry - Our lesson coordinate geom already now analytic proof . ...
- math - Find the exact value of the shortest distance from the origin to each ...
- Analytic Geometry - Find the equation of a circle passing through (3,7) and ...
- Analytic Geometry - Find the equation of a circle passing through (3,7) and ...
- Analytic Geometry - Express by an algebraic equation the statement that the line...
- Analytic Geometry - Please help me to solve this problem. Find the equation of ...