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The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).?
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The x co-ordinate of a point is 9.find it's other co-ordinate if this ...
**Finding the coordinates of the point**
To find the other coordinate of the point, we need to determine the y-coordinate and z-coordinate of the point. We can do this by using the concept of slope.
**Finding the slope**
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two given points.
Using the values from the given points, we can calculate the slope of the line:
m = (5 - 2) / (10 - 7) = 3/3 = 1
**Using the slope to find the coordinates**
Since the slope of the line is 1, we can say that for every increase of 1 unit in the x-coordinate, there will be an increase of 1 unit in the y-coordinate and z-coordinate.
Given that the x-coordinate of the point is 9, we can determine the y-coordinate and z-coordinate using the slope:
For an increase of 2 units in the x-coordinate (from 7 to 9), there will be an increase of 2 units in the y-coordinate and z-coordinate.
Starting from the point (7, 2, 1), we can calculate the other coordinates as follows:
y-coordinate: 2 + 2 = 4
z-coordinate: 1 + 2 = 3
Therefore, the other coordinate of the point is (9, 4, 3).
To find the other coordinate of the point, we need to determine the y-coordinate and z-coordinate of the point. We can do this by using the concept of slope.
**Finding the slope**
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two given points.
Using the values from the given points, we can calculate the slope of the line:
m = (5 - 2) / (10 - 7) = 3/3 = 1
**Using the slope to find the coordinates**
Since the slope of the line is 1, we can say that for every increase of 1 unit in the x-coordinate, there will be an increase of 1 unit in the y-coordinate and z-coordinate.
Given that the x-coordinate of the point is 9, we can determine the y-coordinate and z-coordinate using the slope:
For an increase of 2 units in the x-coordinate (from 7 to 9), there will be an increase of 2 units in the y-coordinate and z-coordinate.
Starting from the point (7, 2, 1), we can calculate the other coordinates as follows:
y-coordinate: 2 + 2 = 4
z-coordinate: 1 + 2 = 3
Therefore, the other coordinate of the point is (9, 4, 3).
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The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).?
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The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).?.
The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The x co-ordinate of a point is 9.find it's other co-ordinate if this point Lies on the line joining the points (7,2,1)and (10,5,7).?.
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