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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.
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.
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.
What is it called where graph lines meet?
A point of intersection.
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.
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 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
What is it called when two lines on a graph cross?
the point of intersecting
What is the corner point of the graph of an absolute value equation called?
vertex
How can you tell if a point will be on a graph by looking only at the equation?
Substitute the point into the equation, eg. if you have point (1,2) and equation y=3x+7 you get 2=3*1+7 =10 2 doesnt equal 10, so (1,2) isn't on the graph y=3x+7
Why does f represent the graph of a function?
Because each vertical lines meets its graph in a unique point.
