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What are the four parts of a coordinate plane?

X-Y Coordinates Origin Quadrants Points


What are quadrants in a coordinate plane?

In a coordinate plane, quadrants are the four sections created by the intersection of the x-axis and y-axis. They are labeled as follows: the first quadrant (I) is where both x and y coordinates are positive, the second quadrant (II) has negative x and positive y coordinates, the third quadrant (III) features both coordinates as negative, and the fourth quadrant (IV) has positive x and negative y coordinates. This system helps in identifying the location of points based on their coordinates.


What can be said of points lying on the line through the origin bisecting the 2nd and 4th quadrant?

Points lying on the line through the origin that bisects the 2nd and 4th quadrants have coordinates where the y-coordinate is negative and the x-coordinate is positive. This line has a slope of -1, represented by the equation ( y = -x ). As such, any point on this line will have equal magnitude for its x and y values, but with opposite signs, indicating that they lie in the 2nd and 4th quadrants.


What points lie in the fourth quadrant?

The negative y coordinates and positive x coordinates lie in the IV quadrant on the Cartesian plane


Where are all points whose x coordinates equal their y coordinates?

All points whose x-coordinates equal their y-coordinates lie on the line described by the equation (y = x). This line passes through the origin (0, 0) and extends diagonally through the first and third quadrants of the Cartesian plane. Every point on this line has coordinates of the form ((a, a)), where (a) is any real number.

Related Questions

Describe the coordinates of all points in all the quadrants?

The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.


What are the four parts of a coordinate plane?

X-Y Coordinates Origin Quadrants Points


What are quadrants in a coordinate plane?

In a coordinate plane, quadrants are the four sections created by the intersection of the x-axis and y-axis. They are labeled as follows: the first quadrant (I) is where both x and y coordinates are positive, the second quadrant (II) has negative x and positive y coordinates, the third quadrant (III) features both coordinates as negative, and the fourth quadrant (IV) has positive x and negative y coordinates. This system helps in identifying the location of points based on their coordinates.


What can be said of points lying on the line through the origin bisecting the 2nd and 4th quadrant?

Points lying on the line through the origin that bisects the 2nd and 4th quadrants have coordinates where the y-coordinate is negative and the x-coordinate is positive. This line has a slope of -1, represented by the equation ( y = -x ). As such, any point on this line will have equal magnitude for its x and y values, but with opposite signs, indicating that they lie in the 2nd and 4th quadrants.


Can you divide an area into six sextants akin to four quadrants?

You can divide an area into any number of smaller areas. The special relevance of "quadrants" is that it distinguishes points on a plane by the sign of the coordinates. For example, points in the first quadrant have both the x-coordinate and the y-coordinate positive.


The four parts of a coordinate plane?

X-Y Coordinates Origin Quadrants Points The proper answer is a QUADRANT. The others are objects that may be found on a coordinate plane. Points are listed but not lines (why not?).


What points lie in the fourth quadrant?

The negative y coordinates and positive x coordinates lie in the IV quadrant on the Cartesian plane


Where are all points whose x coordinates equal their y coordinates?

All points whose x-coordinates equal their y-coordinates lie on the line described by the equation (y = x). This line passes through the origin (0, 0) and extends diagonally through the first and third quadrants of the Cartesian plane. Every point on this line has coordinates of the form ((a, a)), where (a) is any real number.


What can be said of points lying on the line through the origin bisecting the 1stquadrant and 3rd quadrant?

y=x


What are the coordinates of the midpoint of GH with end points?

-- The 'x' coordinate of the midpoint is the average of the 'x'-coordinates of the end-points. -- The 'y' coordinate of the midpoint is the average of the 'y'-coordinates of the end-points.


What is the difference between bisecting and intersecting?

To intersect (as a transitive verb) is to divide by crossing over. To intersect (as an intransitive verb) is to share common points. Bisect is similar to intersect, but the difference is that bisecting divides into two equal parts.


What is the right quadrant?

In what quadrants are the solution points for y < -3 graphed in the rectangular coordinate system?