There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)
13
(-4,3)
(-4, -6)
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
x = 2 and y = -4
x = 5 and y = 4
There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)
10
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
X and Y stand for the x and y of an ordered pair. You could plug in the coordinate for x.
13
(-4,3)
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.
(-4, -6)
The ordered pair is (1, 3).