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Plot the following points on the coordin...

Plot the following points on the coordinate plane. What do you observe ?
(a) `(-2,-3), (-1, -3), (0, -3), (2, -3)`
(b) `(5,3), (5, 2), (5, 1), (5,0), (5, -1)`

Text Solution

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(a) `(-2, -3), (-1, -3), (0, -3), (2, -3)`
(i) The above points lie on the same straight line which is perpendicular to the Y-axis
(ii) The y -coordinates of all the given points are the same, i.e., `y = -3`
(iii) So, the straight line passing through the given points is respresesnted by `y = -3`
(iv) Therefore, the line `y = -3`, is parallel to X-axis which intersects Y-axis at `(0, -3)`
(b) `(5,3), (5,2), (5,1), (5,0), (5, -1)`
(i) The above points lie on the same straight line which is perpendicular to the X-axis
(ii) The x-coordinate of each of the given points is the same, i.e., x = 5
(iii) So, the straight line passing through the given points is represented by `x = 5`
(iv) Therefore, the line x = 5 is parallel to the Y-axis which intersects the X-axis at (5,0)
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