Analytic geometry
posted by Xavier .
What is the distance of the line x+6y7=0 from the origin?
Please help, is my answer 7sqrt37/37 correct? If not, please help me whats the right solution

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+07/(1+36)
= 7/√37
which the probably rationalized .
7/√37 * √37/√37 = 7√37/37