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One way to find the equation of a line is to look at some points on it and try to find the relationship between the coordinates.?
To find the equation of a line, you can start by identifying two points on the line, each represented by their coordinates (x₁, y₁) and (x₂, y₂). You can then calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Once you have the slope, you can use the point-slope form of the equation ( y - y₁ = m(x - x₁) ) to derive the line's equation. Finally, this can be rearranged into the slope-intercept form ( y = mx + b ) if needed.
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The equation that shows the relationship between coordinates of points on a line is called the?
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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.
An equation allows you to find the x and y coordinates of any point on the xy-plane?
An equation that represents a relationship between x and y coordinates, such as (y = mx + b) for linear equations, allows you to determine specific points on the xy-plane. By substituting a value for x, you can solve for the corresponding y-coordinate, and vice versa. This relationship helps graph the equation and visualize how different points relate to each other within the Cartesian coordinate system.
An equation allows you to find the x- and y-coordinates of any point on the xy-plane.?
An equation that relates x and y coordinates defines a specific relationship between the two variables, allowing you to determine the position of points on the xy-plane. For example, a linear equation like (y = mx + b) gives you the y-coordinate for any given x-coordinate, and vice versa. By substituting different values of x or y into the equation, you can generate a set of points that lie on the graph of the equation, illustrating the relationship visually on the plane. This ability to derive coordinates from an equation is fundamental in analyzing and graphing mathematical relationships.
How do you write an equation that represents points in a table?
The answer depends on what relationship - if any - exists between the points in the table. There need not be any relationship.
The equation that shows the relationship between coordinates of points on a line is called the?
Ofwgkta dgaf loiter squad 666
The equation that shows the relationship between coordinates of points on a line is called the what?
Ofwgkta dgaf loiter squad 666
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.
What is the equation that show the relationship between coordinates of points on a line called?
It is a straight line equation in the form of y = mx+c whereas m is the slope and c is the y intercept
An equation allows you to find the x and y coordinates of any point on the xy-plane?
An equation that represents a relationship between x and y coordinates, such as (y = mx + b) for linear equations, allows you to determine specific points on the xy-plane. By substituting a value for x, you can solve for the corresponding y-coordinate, and vice versa. This relationship helps graph the equation and visualize how different points relate to each other within the Cartesian coordinate system.
An equation allows you to find the x- and y-coordinates of any point on the xy-plane.?
An equation that relates x and y coordinates defines a specific relationship between the two variables, allowing you to determine the position of points on the xy-plane. For example, a linear equation like (y = mx + b) gives you the y-coordinate for any given x-coordinate, and vice versa. By substituting different values of x or y into the equation, you can generate a set of points that lie on the graph of the equation, illustrating the relationship visually on the plane. This ability to derive coordinates from an equation is fundamental in analyzing and graphing mathematical relationships.
How do you write an equation that represents points in a table?
The answer depends on what relationship - if any - exists between the points in the table. There need not be any relationship.
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.
A set of points arrange in a row?
They could be the coordinates of a straight line equation
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 can you find an equation line between two pair of points?
Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
One way to find the equation of a line is to look at some points on it and try to find the relationship between the coordinates?
Yes. You need only two points. If A (ax, ay) and B (bx, by) are two points on the line then the gradient (slope) of the line is m = (by - ay)/(bx - ax) provided bx ≠ ax. From this you can calculate m. Then the general slope-intercept form of the equation is y = mx + c Substitute the coordinates of A or B into this equation to find c. If bx = ax then the line is parallel to the y axis and its equation is x = ax. [There are other methods but they are similar to the above]
