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The set of points whose coordinates satisfy a given equation is called the graph of the equation. For example, in the case of a linear equation, the graph is a line, while for a quadratic equation, it is a parabola. This collection of points visually represents the relationship described by the equation in a coordinate system.
What else can I help you with?
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 are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
What can you sa about the coordinates of all points that lie on the line bisecting the second and the fourth quadrants?
They satisfy the equation x + y = 0
Which group of ordered pairs are on the line given by the equation x - y 6?
There are infinitely many points on any line and it is impossible to list them. The points are those whose x and y coordinates satisfy the given equation.
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.
The set of points whose coordinates satisfy an equation is called what the of the equation?
Just took the vocab test the answer is graph.
How do you get a solution set?
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
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 are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
What is the answer for 2x plus 3y equals 3?
There are infinitely many answers and they comprise the coordinates of all points on the line that satisfy the equation.
What can you sa about the coordinates of all points that lie on the line bisecting the second and the fourth quadrants?
They satisfy the equation x + y = 0
Which group of ordered pairs are on the line given by the equation x - y 6?
There are infinitely many points on any line and it is impossible to list them. The points are those whose x and y coordinates satisfy the given equation.
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.
Which set of points lies within plane l?
To determine which set of points lies within plane ( l ), you need to check if the coordinates of each point satisfy the plane's equation. A point ((x, y, z)) lies in the plane if it fulfills the equation of the plane, typically expressed in the form ( Ax + By + Cz + D = 0 ). By substituting the coordinates of the points into this equation, you can identify which points lie within the plane. Points that make the equation true are considered to be on or within the plane.
Which pair of points both lie on the that equation s 3x-y equal 2?
To determine which pair of points lies on the equation (3x - y = 2), substitute the coordinates of each point into the equation. For a point ((x, y)) to lie on the line, it must satisfy the equation when the values of (x) and (y) are plugged in. For example, the point ((1, 1)) does not satisfy the equation, but the point ((2, 4)) does, as substituting (x = 2) gives (3(2) - 4 = 2). Thus, you need to check the specific points provided to identify those that satisfy the equation.
The set or all points whose coordinates satisfy an equation?
The set of all points whose coordinates satisfy an equation is known as the graph of the equation. For example, in a two-dimensional space, an equation like (y = mx + b) represents a straight line, where each point ((x, y)) on the line corresponds to values that fulfill the equation. This concept applies to various mathematical relationships, including linear, quadratic, and higher-order equations, each defining different geometric shapes in a coordinate system.
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
