2x-3y=5 and x-2y=1
2x-3y+2y=5 and x-2y+2y=1
2x-y=5 and x=1
2(1)-y=5
2-y=5
2-y-2=5-2
-y=3
y=-3
(x,y) is (1,-3)
It is called a locus (plural = loci).
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
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The locus of a point is the set of all positions that the point can occupy where it satisfies some defining function.
The definition of locus given by Math Open Reference (mathopenref.com): A shape created by the set of points whose position satisfies a given set of rules.To be three inches from each of the two lines means that all the points of the locus are directly between the two given lines. Thus, the locus for this problem is a line parallel to and centered between the two parallel lines.i n c h e s0 3 6L1 locus L2| | || | || | || | || | || | |
It is called a locus (plural = loci).
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
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The locus of a point is the set of all positions that the point can occupy where it satisfies some defining function.
Any circle centered at the origin fits that description.
The definition of locus given by Math Open Reference (mathopenref.com): A shape created by the set of points whose position satisfies a given set of rules.To be three inches from each of the two lines means that all the points of the locus are directly between the two given lines. Thus, the locus for this problem is a line parallel to and centered between the two parallel lines.i n c h e s0 3 6L1 locus L2| | || | || | || | || | || | |
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.
No. A line is the locus of all points located between any two points.
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
circle
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
a straight line ..