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If a system of equations is dependentthat means all of the points on the graph of one equation match all of the other equation what types of lines would be the result of dependent system of equation?
In a dependent system of equations, the lines represented by the equations are identical; they overlap completely. This means that every point on one line is also a point on the other line. As a result, the lines appear as a single line on the graph, indicating infinitely many solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
How do you know if a point is a solution if you are looking at the graph?
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
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 it called where graph lines meet?
A point of intersection.
If a system of equations is dependentthat means all of the points on the graph of one equation match all of the other equation what types of lines would be the result of dependent system of equation?
In a dependent system of equations, the lines represented by the equations are identical; they overlap completely. This means that every point on one line is also a point on the other line. As a result, the lines appear as a single line on the graph, indicating infinitely many solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
How do you know if a point is a solution if you are looking at the graph?
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
Why are the points of a bar graph not connected?
Because their is no lines on the graph to connect the point.
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.
Is a graph that consists of a single point the graph of a function and can you write the equation of such a function?
MATH 1003?
What is the difference between a picture graph and a bar graph?
a picture graph uses pictures to show the point and bar graph use bar lines to show the point.
What is it called where graph lines meet?
A point of intersection.
What is an outlier on a graph?
A point on a graph that is not on the line or set of lines on a coordinate plane.
What is the slope of the equation y equals 12x-23?
35
How do you find an absolute value equation from a graph?
To find an absolute value equation from a graph, first identify the vertex of the graph, which represents the point where the absolute value function changes direction. Then, determine the slope of the lines on either side of the vertex to find the coefficients. The general form of the absolute value equation is ( y = a |x - h| + k ), where ((h, k)) is the vertex and (a) indicates the steepness and direction of the graph. Finally, use additional points on the graph to solve for (a) if needed.
What is the corner point of the graph of an absolute value equation called?
vertex
