Find Coordinates of Point P in Analytic Geometry

AI Thread Summary
To find the coordinates of point P where two perpendicular lines intersect on the x-axis, the slopes of both lines must be determined using the slope-point formula, ensuring that their product equals -1. The intersection point is identified as (0,y), which represents the y-intercept of the orange line. Analyzing the triangle formed by the lines can provide additional insights into the relationship between the coordinates. Understanding the properties of right triangles may also aid in solving for point P. Utilizing these geometric relationships is essential for accurately determining the coordinates.
zafer
Messages
16
Reaction score
0

Homework Statement


In the figure, the orange line and the green line are perpendicular and intersect on the x-axis.Find the coordinates of P.

http://tinypic.com/r/2wn7m2v/3 go here for the image please.


Homework Equations


slope-point formula, m1*m2=-1 FOR PERPENDICULAR LINES


The Attempt at a Solution


I found the slope of the orange line and also for the other line.
the point there is (0,y).Which is the y-intercept.
 
Physics news on Phys.org
What kind of triangle is formed by the figure? What can you do with that information? (I'm trying to give a hint for one approach - there are certainly others).
 

Similar threads

Analytic geometry easy but tricky problem
Replies
2
Views
1K
Distinguishing between angular bisectors
Replies
3
Views
2K
A,B,C are 3 points with position vectors a,b,c Find length of median
Replies
18
Views
2K
What is the reason behind alternate answers to a locus problem.
Replies
3
Views
2K
Efficient solution to a 3D geometry distance problem
Replies
6
Views
3K
Analytical Geometry (Division of line segments)
Replies
1
Views
6K
If two vertices of a square on the same side AB are A(1,2) and B(2,4)....
Replies
2
Views
2K
B: Calculate the distance between two points without using a coordinate system
Replies
20
Views
3K
Formulas for Rotation and Translation
Replies
16
Views
5K
Find the coordinates of a point C from the given line, point and circle
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top