Homework Help

What is the distance of the point (3,4) from the line 3x - 8y = 14

user profile pic

xataexa | Student, Kindergarten | Salutatorian

Posted June 20, 2013 at 5:03 AM via web

dislike 1 like

What is the distance of the point (3,4) from the line 3x - 8y = 14

Tagged with distance, line, math

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 20, 2013 at 5:08 AM (Answer #1)

dislike 1 like

The distance of a point (X, Y) from a line ax + by + c = 0 is given by `|a*X+b*Y+c|/sqrt(a^2+b^2)`

The distance of the point (3, 4) from the line 3x - 8y - 14 = 0 is:

`|3*3 - 8*4 - 14|/sqrt(3^2+8^2)`

= `|9 - 32 - 14|/sqrt 73`

= `37/sqrt 73`

The required distance of the point from the line is` 37/sqrt 73` .

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes