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An equation where the graph of all solutions lies on a line is called?
hi
What does the graph of a line represent?
It represents all solutions to the linear equation.
How you find the solution of a quadratic equation by graphing its quadratic equation?
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
When system of linear equations is graphed how is the graph of each equation related to the solutions of that equation?
When a system of linear equations is graphed, each equation is represented by a straight line on the coordinate plane. The solutions to each equation correspond to all the points on that line. The intersection points of the lines represent the solutions to the entire system; if the lines intersect at a point, that point is the unique solution. If the lines are parallel, there are no solutions, and if they overlap, there are infinitely many solutions.
What is an equation where the graph of all solutions lies on a line?
There are an infinite number of equations that meet that requirement. One of them is y = x
An equation where the graph of all solutions lies on a line?
If it is a straight line, then the equation is linear.
An equation where the graph of all solutions lies on a line is called?
hi
What does the graph of a line represent?
It represents all solutions to the linear equation.
How you find the solution of a quadratic equation by graphing its quadratic equation?
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
When system of linear equations is graphed how is the graph of each equation related to the solutions of that equation?
When a system of linear equations is graphed, each equation is represented by a straight line on the coordinate plane. The solutions to each equation correspond to all the points on that line. The intersection points of the lines represent the solutions to the entire system; if the lines intersect at a point, that point is the unique solution. If the lines are parallel, there are no solutions, and if they overlap, there are infinitely many solutions.
What is the set of an equation in two variables in the set of all points in a coordinate plane that represent all the solutions of the equation?
To graph the set of all the solutions to an equation in two variables, means to draw a curve on a plane, such that each solution to the equation is a point on the curve, and each point on the curve is a solution to the equation. The simplest curve is a straight line.
What is an equation where the graph of all solutions lies on a line?
There are an infinite number of equations that meet that requirement. One of them is y = x
How are graphs and equations related?
The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.
How does a graph show solutions to a linear equation?
A graph shows solutions to a linear equation by representing all possible combinations of variables as points on a two-dimensional plane. Each point (x, y) on the graph corresponds to a solution of the equation, where the x-coordinate represents the independent variable and the y-coordinate represents the dependent variable. The line formed by connecting these points illustrates the relationship between the variables, with every point on the line satisfying the linear equation. Thus, any point on the line is a solution to the equation.
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
What is the graph of the equation?
The graph of an equation is all of the answers that are true for the equation. A variable is an unknown number in an equation. Most equations are written with x and y variables. There are an unlimited amount of numbers that the variables can be to have the equation be true, so you would graph the equation to show the unlimited amount of numbers that make the equation true.
How are an equation a table of values a set of ordered pairs and a graph of the equation related?
An equation, a table of values, a set of ordered pairs, and a graph of the equation are all different representations of the same mathematical relationship. The equation defines the relationship between variables, while the table of values lists specific input-output pairs derived from the equation. These pairs can be expressed as ordered pairs (x, y), which can then be plotted on a graph to visually represent the relationship. Together, they provide a comprehensive understanding of the equation's behavior.
