There are infinitely many ordered pairs - each pair representing a different point on the infinite line described by the equation.
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The vertex is at the origin of coordinates ... the point (0, 0).
When x = 0, the point that has (0, y) coordinates will be on the y-axis for any y.
The coordinates of the x intercept for the equation y equals x plus 1 is (x=-1, y=0).
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
x2 + 4x = 0 ⇒ x(x + 4) = 0 ⇒ x = 0 or x = -4