The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
you dont
It's a third line, parallel to both and midway between them.
It is a line that is also parallel to them and exactly halfway between them.
The locus of points between 2 lines will always be another line that is halfway between the original 2 lines. In this case, that will be a line halfway between y=-2 and y=8, and since 3 is halfway between -2 and 8, the locus will be the line y=3.
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
you dont
It's a third line, parallel to both and midway between them.
It is a line that is also parallel to them and exactly halfway between them.
The locus of points between 2 lines will always be another line that is halfway between the original 2 lines. In this case, that will be a line halfway between y=-2 and y=8, and since 3 is halfway between -2 and 8, the locus will be the line y=3.
Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.
the pair of lines bisecting the angles formed by the given lines
It's another line, parallel to both of the first two and midway between them.
The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
They are parallel lines
Two parallel lines.
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.