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

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It is the locus of all points whose coordinates satisfy the equation of the line.

You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.

The graph of a function f(x), of an n-dimensional variable x = {x1, x2, ... xn}, is the set of all points in n+1 dimensional space whose coordinates are {x1, x2, ... xn, f(x)}.In its most simplistic form, if y = f(x), then the graph of the function f(x) is the set of all points, in 2-dimensional space, whose coordinates are (x, f(x)).

Yes. Calculate the ratio of the difference in y-coordinates and the difference in x-coordinates between pairs of points. If the ratio is the same, the points are collinear. If not, they are not. The only exception is if all the x-coordinates are he same and the ratio is not defined. In this case the points are also collinear - all on a vertical line.

A circle is a round figure with all points equidistant from the center. Radii of equal length is the main defining characteristic of a circle.

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It is the locus of all points whose coordinates satisfy the equation of the line.

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

The first graph consists of all points whose coordinates satisfy the first equation.The second graph consists of all points whose coordinates satisfy the second equation.The point of intersection lies on both lines so the coordinates of that poin must satisfy both equations.

That's a sphere whose radius is the constant equal distance.

You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.

The graph of a function f(x), of an n-dimensional variable x = {x1, x2, ... xn}, is the set of all points in n+1 dimensional space whose coordinates are {x1, x2, ... xn, f(x)}.In its most simplistic form, if y = f(x), then the graph of the function f(x) is the set of all points, in 2-dimensional space, whose coordinates are (x, f(x)).

Yes. Calculate the ratio of the difference in y-coordinates and the difference in x-coordinates between pairs of points. If the ratio is the same, the points are collinear. If not, they are not. The only exception is if all the x-coordinates are he same and the ratio is not defined. In this case the points are also collinear - all on a vertical line.

In math, it is called the origin

Their first coordinates are positive and their second coordinates are negative.

A circle is a round figure with all points equidistant from the center. Radii of equal length is the main defining characteristic of a circle.

A sphere has all points on it equal distanced from its centre.

They're all points on the x-axis.