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When all the points that satisfy an equation are graphed in a straight line, the equation is linear. This typically takes the form of (y = mx + b), where (m) is the slope and (b) is the y-intercept. In this case, every solution represents a coordinate pair ((x, y)) that lies on that line, indicating a constant rate of change between (x) and (y). Linear relationships are characterized by their uniformity and direct proportionality.

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1w ago

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Related Questions

When we plot all the points that satisfy an equation or inequality we do what to it?

Graph it (the equation).


What is a linear equation with a undefined slope?

A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed


When we plot all the points that satisfy an equation or inequality we it?

graph


When we plot all the points that satisfy an equation or inequality we?

graph


What set of points whose coordinates satisfy the equation is called?

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.


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 is the image obtained by plotting all points that satisfy an equation or inequality?

graph


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.


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.


When a 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 represents a line in a coordinate plane. The solutions to each equation correspond to the points on that line. The intersection points of the lines represent the solutions to the system as a whole, indicating where the equations are satisfied simultaneously. If the lines intersect at a single point, there is a unique solution; if they are parallel, there are no solutions; and if they coincide, there are infinitely many solutions.


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 of points whose coordinates satisfy an equation is called what the of the equation?

Just took the vocab test the answer is graph.