Precalculus
Considering the line segment joining A(5, 2) and B(7, 8), find an equation, in the form of Ax+By=C, that expressed the fact that a point P(x, y) is equidistant from A and from B. How would I go about even attempting this problem?
asked by
Mark

any point on the perpendicular bisector of AB satisfies your requirement.
what is the slope of AB ?
slope = (82)/(7+5) = 6/12 = 1/2
so the perpendicular has slope
m = 2
It must go through the midpoint of AB which is at:
x =(75)/2 = 1
y = (8+2)/5 = 2
or (1,2)
so
2 = 2(1) + b
b = 4
so
y = 2 x + 4
2 x + y = 4
posted by Damon
Respond to this Question
Similar Questions

Math
In this problem we consider drawing some straight lines which form a nice pattern. Consider joining the point (0.1,0) to the point (0,0.9) by a line segment; then joining (0.2,0) to (0,0.8) by a line segment; and so on. In 
Math
What is the equation of the line segment joining P(x, y) to (2, 4) and is parallel to the segment joining (2, 1) and (6, 8). 
precalculus
The equation of the line joining the complex numbers 5 + 4i and 7 + 2i can be expressed in the form az + b \overline{z} = 38 for some complex numbers a and b. Find the product ab. I can get the equation of the line by slope 
Precal
The equation of the line joining the complex numbers 5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help? 
Precal
Consider the line segment joining A(1,2) and B(3,4) a) find an equation that expresses the fact that a point P(x,y) is equidistant from A and from B. b) describe geometrically the set of points described by the equation in part 
Algebra A (1510)
The "perpendicular bisector" of the line segment $\overline{AB}$ is the line that passes through the midpoint of $\overline{AB}$ and is perpendicular to $\overline{AB}$. The equation of the perpendicular bisector of the line 
math
On a coordinate system, the segment joining the points (3,8) and (9,16) has the same midpoint as the line segment joining the points (8,11) and (x,13). What is the value of x? I think x=3 
Math
Find the equation of the perpendicular bisector of the line segment joining the points (1, 2) and (2, 1) Does it mean I have to find the line. Then find a line that cuts that line in to half because perpendicular bisector 
math
determine the equation of the line passing through the point (4, 3) and parallel to the line segment joining A(5, 2) and B(3,4) 
Math Precal 11
Show that the point P(7,7) is on the perpendicular bisector of the line segment joining A (6,1) to B (0, 3). Also, verify that P is the same distance from A and B. For what values of k is the line y=l tangent to the circle