Posted by Alex on Monday, August 13, 2012 at 1:00pm.
Find k, given that (2,k) is equidistant from (3,7) and (9,1).
The answer is : k=0
How do I solve this problem?

Algebra  Steve, Monday, August 13, 2012 at 3:21pm
The slope of the line segment joining (3,7) and (9,1) is 6/6 = 1.
Any point equidistant from those two points will lie on the perpendicular bisector of that line segment.
So, we want the line with slope=1, through (6,4), the midpoint of the segment.
y4 = 1(x6)
Now, we plug in (2,k) to get
k4 = 26
k = 0
Answer This Question
Related Questions
 Algebra  Find all intervals on which the given expressions are positive. (x1)(...
 Algebra  The problem has two related parts 1) let a be an arbitrary real number...
 Algebra  The problem has two related parts 1) let a be an arbitrary real number...
 algebra  Explain in your own words what it means for an equation to model a ...
 Geo (locus)  I don't fully get this stuff but some of these I guessed on and ...
 Algebra  I was given this problem to solve and no matter what order I multiply ...
 Algebra II  Find the solution if possible. If there is not enough information ...
 Algebra  Please help me to solve this problem. Thank you in advance for helping...
 Algebra 2  Given f(x)= x^2+7x+8, find x when f(x)= 4. My answer is 4. Find x ...
 maths  The probability that Katarina will correctly solve a given Brilliant ...
More Related Questions