yes
No
point
A 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.
An ordered pair of numbers on the coordinate plane denotes a point.
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.
Ordered pair (s)
point
Plotting the point.
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.
(2,4)