Question

what can you say about the position of the points(1,2), (1,3) (1,_4), (1,0), and (1,8).locate on a graph sheet​

Answer 1

Determining the positions of any point in x-y coordinate system:

If (x, y) be any point in x-y coordinate system, then the position of the point can be determined as follies -

• When x > 0, y > 0, (x, y) lies in the first quadrant.
• When x < 0, y > 0, (x, y) lies in the second quadrant.
• When x < 0, y < 0, (x, y) lies in the third quadrant.
• When x > 0, y < 0, (x, y) lies in the fourth quadrant.
• However if x = 0 (y ≠ 0) or y = 0 (x ≠ 0), the point lies either on the y-axis or on the x-axis respectively.

Solution:

{ refer to the attachment to understand the position of the given points }

• Here the point is (1, 2) and since both the 1 > 0 and 2 > 0, the point (1, 2) lies in the first quadrant.
• Here the point is (1, 3) and since both 1 > 0 and 3 > 0, the point (1, 3) lies in the first quadrant.
• Here the point is (1, - 4) and since 1 > 0 but - 4 < 0, the point (1, - 4) lies in the fourth quadrant.
• Here the point is (1, 0) and since 1 > 0 and y coordinate is 0, (1, 0) lies on the positive x-axis.
• Here the point is (1, 8) and since both 1 > 0 and 8 > 0, (1, 8) lies in the first quadrant.

Answer 2

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