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What does the line represent when you graph a linear equation?
It is the locus of all points whose coordinates satisfy the equation of the line.
What is the concept of graphing system of equations?
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.
What is the definition of a graph of a function?
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)).
When graphing the points can your tell whether or not they are collinear?
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 round figure whose surface is at all points equidistant from the center is called what?
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.
What does the line represent when you graph a linear equation?
It is the locus of all points whose coordinates satisfy the equation of the line.
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.
How the solution of a linear system with two equations is represented by the point where the graphs of the two equation intersect?
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.
The locus of all points in space equidistant from a given point?
That's a sphere whose radius is the constant equal distance.
What is the concept of graphing system of equations?
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.
What is the definition of a graph of a function?
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)).
When graphing the points can your tell whether or not they are collinear?
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.
What is the Point called whose coordinates are all zero?
In math, it is called the origin
What is true about all coordinate points in quadrant IV of a coordinate graph?
Their first coordinates are positive and their second coordinates are negative.
A round figure whose surface is at all points equidistant from the center is called what?
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.
What is a space figure with all points equal from the center?
A sphere has all points on it equal distanced from its centre.
What do all points whose y-coordinate is 0 have in common?
They're all points on the x-axis.
