yes
A point.
point
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
This is called plotting the point on the Cartesian or coordinate plane.
Ordered pair
No, a point on a coordinate plane cannot be represented by more than one ordered pair. Each ordered pair corresponds to a specific location defined by its x (horizontal) and y (vertical) coordinates. While multiple points can share the same x or y coordinate, each unique point has a distinct combination of the two coordinates.
The origin, in the Cartesian coordinate system, is the point with coordinates (0, 0). So, if you have another ordered pair, the ordered pair doesn't "have an origin"; rather, the origin is another point.
A point, in two dimensional space, is defined as an ordered pair.
It is the geometric representation, in the Cartesian plane, of the ordered pair.
ordered pair
.
The second number in an ordered pair (x,y) is the y-coordinate for that point.
There is no ordered pair for y =4. y=4 is a line, not a point.
Finding the data point for an ordered pair is easy to do. The first coordinate marks a place along the X axis, while the second marks a place along the Y axis. Find the first point on the horizontal axis, then move up or down along the vertical axis to reach the exact data point.
Plotting the point.
Ordered pair (s)
Substitute the values of the ordered pair into the relation. If the equation is valid then the ordered pair is a solution, and if not then it is not.