The perpendicular bisector of the line joining the two points.
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.
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
It is a line that is also parallel to them and exactly halfway between them.
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.
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.
They are parallel lines
Two parallel lines.