Help please!

[Violetgo]

Find all coordinate points P in X axis so that line through points A(1,2) and P perpendicular line through points B(8,3) and P.

 

[Steven G]

Sorry but we do not solve math problems for students on this help forum. Please read our posting guidelines.

 

[Dr.Peterson]

Find all coordinate points P in X axis so that line through points A(1,2) and P perpendicular line through points B(8,3) and P.

Before we can try to help, we'll need to figure out what this problem means. I'm guessing that you have tried to translate it into English.

Here is what I think it may mean:

Find all points P(x, 0) on the x-axis such that the line through points A(1, 2) and P is perpendicular to the line through the points B(8, 3) and P.​

Is that correct?

Now, in order to help, we need to know what help you need, as explained here:

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to help...

www.freemathhelp.com

So please write back and show some work, or tell us why you are stuck. In particular, do you know how to use slopes to find whether two lines are perpendicular?

 

[pka]

Find all coordinate points P in X axis so that line through points A(1,2) and P perpendicular line through points B(8,3) and P.

You have been admonished about posting without show any of your own work.
Thus you must use my suggestions to do some work that you then post.
The points \(A: (1,2),~B: (8,3),~\&~P: (p,0)\).
The slopes are: \(\text{slope}_{\overline{AP}}=\dfrac{2}{1-p}~\&~\text{slope}_{\overline{BP}}=\dfrac{3}{8-p}\).
Now for what value of \(p\) are those two slopes are negative reciprocals of each other?
Now you post complete answers.