Homework Help

What is the equation of the line between the points (3, 1) and (4, 2)

user profile pic

xetaalpha2 | Student | Honors

Posted June 20, 2013 at 5:17 AM via web

dislike 1 like

What is the equation of the line between the points (3, 1) and (4, 2)

Tagged with equation, line, math

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 20, 2013 at 5:21 AM (Answer #1)

dislike 1 like

The equation of the line between two points `(x_1, y_1)` and `(x_2, y_2)` is `(y - y_1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)`

The equation of the line passing through the points (3,1) and (4,2) is:

`(y - 1)/(x - 3) = (2 - 1)/(4 - 3)`

=> `(y - 1)/(x - 3) = 1`

=> y - 1 = x - 3

=> x - y - 2 = 0

The required equation of the line is x - y - 2 = 0

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes