What are the coordinates of the point located 3 units to the left of the y-axis and 4 units above the x-axis?
Answers
What are the coordinates of the point located 3 units to the left of the y-axis and 4 units above the x-axis?
It will be (-3,4)
hope it helps you...
Answer:
The coordinates of the point located 3 units to the left of the y-axis and 4 units above the x-axis = (-3,4)
Step-by-step explanation:
To find,
The coordinates of the point located 3 units to the left of y axis and 4 units above the x-axis.
Solution:
Recall the concepts:
The X and Y axes intersect at the point O(0,0) and divide the cartesian plane into four equal parts called quadrants.
Quadrants 1 and 2 lies above the X axis and 3 and 4 lies below the X axis.
Also, quadrants 1 and 4 lies to the right of the Y axis, and 2 and 3 lie on the left of the Y axis.
Here, the given point lies on the left of the Y axis and above the X axis, the only quadrant that satisfies this condition is the 2nd quadrant.
We know, that in the second quadrant x coordinate is negative and the y coordinate is positive.
Since the point is 3 units to the left of the Y axis, the x coordinate of the point = distance of the point from the Y axis = 3
Also, since the point lies in the second quadrant, x co-ordinate = -3
Since the point is 4 units above the X axis, the y coordinate of the point = distance of the point from the X axis= 4
Also, since the point lies in the second quadrant, the y co-ordinate = 4
∴ The coordinates of the point located 3 units to the left of the y-axis and 4 units above the x-axis = (-3,4)
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