SOLUTION: Hi! Find the value of k: if the line through the points (4k+3,k+1) and (k-6,-2k+3) is perpendicular to the line through the points (2,3) and (2,8).

Algebra ->  Parallelograms -> SOLUTION: Hi! Find the value of k: if the line through the points (4k+3,k+1) and (k-6,-2k+3) is perpendicular to the line through the points (2,3) and (2,8).      Log On


   

Question 994492: Hi!
Find the value of k: if the line through the points (4k+3,k+1) and (k-6,-2k+3) is perpendicular to the line through the points (2,3) and (2,8).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find slope of line through (2,3) and (2,8)
+m+=+%28+8-3+%29+%2F+%28+2-2+%29+
+m+=+5%2F0+
The slope is infinite, in other words, the line
through the given points is vertical
----------------------------
Any line perpendicular to this line
will have slope = +0+
---------------------
That tells me that change in +y+=+0+
between the points on the perpendicular
so, I can say:
----------------------
+k+%2B+1+=+-2k+%2B+3+
+3k+=+2+
+k+=+2%2F3+