The Purplemath Forums

by **mitnord** on Wed Feb 25, 2009 10:53 pm

I have two vectors given as A(1,3), B(7, 2) and

a line that crosses the point P(2, -5)

The vector B is perpendicular to the line.

How to find the equation of the line?

Thank you.

**Sponsor**

by **stapel_eliz** on Thu Feb 26, 2009 2:25 pm

mitnord wrote:How to find the equation of the line?

This lesson may help. As it explains, given a direction vector b for (a vector parallel to) a line L and a point a on the line, the line's equation is L = a + tb.

If <7, 2> is perpendicular to the line, what vector would be parallel?

Given that parallel direction vector and the point (2, -5) on the line, what then would be the equation of the line?

Hope that helps!