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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.


Where is the third quadrant on a graph?

The one to the lower left of the origin.


How can you tell the quadrant in which a point is located without refferring to the graph?

If the signs of the Cartesian coordinates are: (+, +) => first quadrant (-, +) => second quadrant (-, -) => third quadrant (+, -) => fourth quadrant. If one of the coordinates is 0 then the point is on an axis and NOT in a quadrant. If both coordinates are 0 then the point is at the origin. If the location of the point is given in polar coordinates, then you only need the angle. Suppose the principal angle is Φ, then 0 < Φ < 90 degrees => first quadrant 90 < Φ < 180 => second quadrant 180 < Φ < 270 => third quadrant 270 < Φ < 360 => fourth quadrant. Again, if the angle is 90, 180 etc degrees, the point is on an axis. If the magnitude is 0 then the point is at the origin.


What does y equals -x look like on a graph?

Like Y = X Except it is a line through the origin in the second and fourth quadrant to show it's negativity.


How does a quadrant look like?

When drawing a graph, there are four quadrants, which are the "boxes" surrounding the origin.

Related Questions

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.


In which quadrant is the point of origin?

The point of origin is not in any quadrant. In fact, any point on the X or Y axis is not in a quadrant. In order for a point to be in Q1, Q2, Q3 or Q4, it must not be on an axis.


How is 00 pronounced in 4 quadrant?

The origin.


What is the four regions into which he x and y axes separate the coordinate plane?

They are the First Quadrant, the Second Quadrant, the Third Quadrant, and the Fourth Quadrant. They all meet at the origin, and all have equal, infinite areas.


What quadrant will the area be if x 0 and y is 0?

Origin


Where is the third quadrant on a graph?

The one to the lower left of the origin.


If you plotted point 0 0 on an xy plane would the point be located in a quadrant or at the origin?

at the origin


How can you tell the quadrant in which a point is located without refferring to the graph?

If the signs of the Cartesian coordinates are: (+, +) => first quadrant (-, +) => second quadrant (-, -) => third quadrant (+, -) => fourth quadrant. If one of the coordinates is 0 then the point is on an axis and NOT in a quadrant. If both coordinates are 0 then the point is at the origin. If the location of the point is given in polar coordinates, then you only need the angle. Suppose the principal angle is Φ, then 0 < Φ < 90 degrees => first quadrant 90 < Φ < 180 => second quadrant 180 < Φ < 270 => third quadrant 270 < Φ < 360 => fourth quadrant. Again, if the angle is 90, 180 etc degrees, the point is on an axis. If the magnitude is 0 then the point is at the origin.


Which of the following circles lie completely on the fourth quadrant?

The one in which the centre is in the fourth quadrant, and where the distance from the centre of the circle to the origin is greater than its radius.


What does y equals -x look like on a graph?

Like Y = X Except it is a line through the origin in the second and fourth quadrant to show it's negativity.


How does a quadrant look like?

When drawing a graph, there are four quadrants, which are the "boxes" surrounding the origin.


Which quadrant does the reprenting the equation y equals -3x pass through?

It passes through Quadrants II and IV. It also passes through the origin ... the point where the 'x' and 'y' axes cross. At that point, it's in all four quadrants.