In which quadrant or on which axis does each of the following points lie?
$A(10, 40), B(-30, 0), C(50, -40), D(0, -30), E(-20, 50), F(0, 60), G(70, 0), H(-40, -50)$
Verify your answer by plotting the points in the Cartesian plane. Use the scale $1 \, cm = 10$ units on both axes.

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(A) To determine the position of a point $(x, y)$ in the Cartesian plane:
$1$. If $x > 0$ and $y > 0$,the point lies in the first quadrant.
$2$. If $x < 0$ and $y > 0$,the point lies in the second quadrant.
$3$. If $x < 0$ and $y < 0$,the point lies in the third quadrant.
$4$. If $x > 0$ and $y < 0$,the point lies in the fourth quadrant.
$5$. If $y = 0$,the point lies on the $x$-axis.
$6$. If $x = 0$,the point lies on the $y$-axis.
PointPosition
$A(10, 40)$First quadrant
$B(-30, 0)$$x$-axis
$C(50, -40)$Fourth quadrant
$D(0, -30)$$y$-axis
$E(-20, 50)$Second quadrant
$F(0, 60)$$y$-axis
$G(70, 0)$$x$-axis
$H(-40, -50)$Third quadrant

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