SOLUTION: P(4,2) is equidistant from A(9,2) and B(1,6) If (2,k) is equidistant from A and B, find value of k

Question 773827: P(4,2) is equidistant from A(9,2) and B(1,6)
If (2,k) is equidistant from A and B, find value of k
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Find slope of line AB. Call this value M.
Now find .
Use point-slope form for a line and with point P(4,2) and the slope m, find the equation for the line which they define.
Use this equation with x=2 to find the value of k.

The point-slope form for a line is or alternatively ;
Do not confuse lower-case letters for variables with upper-case letters for variables.
RELATED QUESTIONS
Point A(1,4)is equidistant from the points (k,-2) and (4,k) .find the value of... (answered by josgarithmetic)

Point A(1,4)is equidistant from the points (k,-2) and (4,k).find the value of... (answered by josgarithmetic)

Point A(1,4)is equidistant from the points (k,-2) and (4,k).find the value of K (answered by mananth)

Hi If (2,k) is equidistant from (9,2) and (1,6), what is the value of... (answered by josgarithmetic)

well its a two part question i answered a already but am finding it impossible to answer... (answered by scott8148)

Given points A (-4,5) and B (6,-9), find the value of "n" so that point C (n,2) is... (answered by josgarithmetic,MathTherapy)

Q.2: If the point (4,t) is equidistant from the points A(4,1) and B(-1,2),find the value (answered by Alan3354)

The point (-1,-5) is equidistant from the lines 3x-4y-2=0 and 3x-4y+k=0, where k can not... (answered by josgarithmetic)

if the point P(x,2) is equidistant from p1(-2,3) and p2( 4,7), find the value of... (answered by stanbon)