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In the context of Cartesian coordinates, the ordered pair (0, 0) represents a point at the intersection of the x-axis and the y-axis, also known as the origin. The first number in the ordered pair (0) represents the x-coordinate, which is the distance along the horizontal axis from the origin. The second number (0) represents the y-coordinate, which is the distance along the vertical axis from the origin. Therefore, the ordered pair (0, 0) indicates a position where both the x and y coordinates are zero, placing the point at the origin of the coordinate plane.
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What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
Is the ordered pair 0 -6 solution for y5x-7?
The ordered pair (0, -6) Ordered pairs look like (x, y). they are the coordinates of a point on your graph. Asking if (0,6) is a solution to your equation means, does this point lie on the graph? Or algebraically, if you substitute in x = 0 and y = -6 into the equation, does it work? y = 5x-7 -6 = 5(0) -7 -6 = 0 - 7 -6 = -7 Well, -6 does NOT = -7, so we know that this ordered pair is not a solution to the function.
What is the symbol for ordered pair?
The symbol for an ordered pair is (x,y).
How do you find the inverse of an ordered pair?
The inverse of an ordered pair (a,b) is the pair (b,a). So you simply switch the order.
An ordered pair that has an x value of zero would be graphed on what axis?
x = 0 is the y-axis
