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Question
With reference to figure, see which quadrants or axes do the points L, M, N, K, G, B, R, T and D belong, and find the sum of the abscissa of all the marked points.
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Solution
Concept: for any point P(m,n), m is called abscissa and n is called ordinate.
Point Position L(3, 2) I quadrant M(-3, 1) II quadrant
N(-4, -2) III quadrant K(4, 0) X-axis G(-1, 0) X-axis
B(0, 3) Y-axis R(2, -1) IV quadrant T(5, -2) IV quadrant D(0, -2) Y-axis
sum of abscissa of all points
=3+(−3)+(−4)+(−1)+0+2+5+0=3−3−4−1+2+5=2
| Point | Position |
| L(3, 2) | I quadrant |
| M(-3, 1) | II quadrant |
| N(-4, -2) | III quadrant |
| K(4, 0) | X-axis |
| G(-1, 0) | X-axis |
| B(0, 3) | Y-axis |
| R(2, -1) | IV quadrant |
| T(5, -2) | IV quadrant |
| D(0, -2) | Y-axis |
sum of abscissa of all points
=3+(−3)+(−4)+(−1)+0+2+5+0=3−3−4−1+2+5=2
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