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Posted on April 24, 2022 (Updated on July 9, 2025)

Does the ordered pair satisfy the equation?

Space & Navigation

If an ordered pair satisfies an equation, then the point in the Cartesian plane represented by the ordered pair is on the graph of the equation. If a point is on the graph of an equation, then the ordered pair representation of that point satisfies the equation.

Does the ordered pair satisfy?

Video quote: In terms of x and y x is the input variable. And Y is the output variable. So to verify these ordered pairs satisfy the linear equation. Because the first value is the input.

How do you find a ordered pair that satisfies the function?

Video quote: Let's replace X with 2 and Y with 3. Now let's see if it's equal to 7. Now 2 times 2 is equal to 4. And 4 plus 3 is indeed equal to 7. So the ordered pair works for the first equation.

Is the ordered pair a solution to the equation?

To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.

Which ordered pair satisfies the system of equations?

Given a linear system with two equations and two variables, a solution is an ordered pair that satisfies both equations and corresponds to a point of intersection. Used when referring to a solution of a system of equations.

Does the ordered pair satisfy each system of linear equations?

The solution to a system of linear equations in two variables is any ordered pair (x,y) that satisfies each equation independently.

How do you satisfy an equation?

A value (or values) that solve an equation. x=4 solves the equation (we get 8 + 1 = 9, which is true), so x=4 satisfies the equation.

What does it mean if an equation is satisfied?

To show that substituting one or more variables into an equation or inequality “works out”. That is, the equation or inequality simplifies to a true statement.

How do you find two points that will satisfy the equation?

Video quote: So all you have to do is plug those x and y values. Into your equation for x and y and see if the two sides are equal and that will mean that the point satisfies that equation.

Does XY satisfy the equation?

Video quote: It is a solution the answer is yes.

Does the point 5 5 satisfy the equation y x?

YES! We solved the question!

Is X Y linear equation?

A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable.

What is X Y on a graph?

The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis.

How do you graph ordered pairs?

Video quote: We have our x-axis down here and our y-axis up here so to plot the c the ordered pair five comma three we have to find five on the x-axis to start so if i come down to my origin.

Why is neatness important in a graph?

A neat-appearing, well arranged set of field notes commands confidence and builds prestige in the surveyor.” “Field notes should be clear and convey only one possibly correct interpretation.

How do you read points on a graph?

When plotting points or finding the coordinates of given points, we first look at the horizontal direction. We start at the origin and travel the necessary distance left or right, and this number of units represents the x-coordinate. If we move to the right, this number will be positive; to the left, negative.

What is the trend of the graph?

A trend line (also called the line of best fit) is a line we add to a graph to show the general direction in which points seem to be going. Think of a “trend” as a pattern in math. The trend line is something we add to our graph to make the pattern even clearer.

How do you read quadrants?

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

What is a graph made up of connected lines or curves called?

Functions. A graph made up of connected lines or curves.

What’s a set of ordered pairs called?

A relation is any set of ordered pairs. The set of all first components of the ordered pairs is called the domain. The set of all second components is called the range. Relations can be represented by tables, sets, equations of two variables, or graphs.

What illustrates how each element of the domain is paired with an element in the range?

table, a graph, or a mapping. A mapping illustrates how each element of the domain is paired with an element in the range. The set of first numbers of the ordered pairs is the domain. The set of second numbers of the ordered pairs is the range of the relation.

What is a graph with points plotted to show a possible relationship?

Scatter Plot. A graph with points plotted to show a possible relationship between two sets of data.

What is the strength of a scatter plot?

The strength of a scatter plot is usually described as weak, moderate or strong. The more spread out the points are, the weaker the relationship. If the points are clearly clustered, or closely follow a curve or line, the relationship is described as strong.

Which graph represents a positive correlation?

The scatter plot shows a positive correlation.

What type of relationship does the scatter plot show?

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

Which scatterplot shows a positive correlation?

We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

How do you describe the strength of a correlation?

The correlation between two variables is considered to be strong if the absolute value of r is greater than 0.75. However, the definition of a “strong” correlation can vary from one field to the next.



What is Considered to Be a “Strong” Correlation?

Absolute value of r Strength of relationship
0.5 < r < 0.75 Moderate relationship
r > 0.75 Strong relationship

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