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.
Ordered pair
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.
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.
(2,4)