Hey guys,
im not sure if this is the right place for this, so mods please move it if you so desire. Anyway i have this question about determing equations for a locus of points of intersecting lines. We didn't go over this in class so i really have no idea where to start.
The question is determine an equation to represent the locus of points from each pair of lines:
y=x and y=-x
well so far i got that the mid point of the two is 0,0 and know i have to somehow use the y2-y = m(x2-x) formula to get the equation of the line. The problem i have is finding the slope of the equidistant point between the two lines. It lays on the x and y axis making the slope 0 and thus the answer y= 0. The answer in the back of the book however shows xy=0
thanks in advance
im not sure if this is the right place for this, so mods please move it if you so desire. Anyway i have this question about determing equations for a locus of points of intersecting lines. We didn't go over this in class so i really have no idea where to start.
The question is determine an equation to represent the locus of points from each pair of lines:
y=x and y=-x
well so far i got that the mid point of the two is 0,0 and know i have to somehow use the y2-y = m(x2-x) formula to get the equation of the line. The problem i have is finding the slope of the equidistant point between the two lines. It lays on the x and y axis making the slope 0 and thus the answer y= 0. The answer in the back of the book however shows xy=0
thanks in advance