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A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?
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A straight line passes through the point (2,3) and is such that the su...
AS LINE PASSES THROUGH (X,Y) = (2,3), SUM OF INTERCEPT OF COORDINATES IS 10.
Equation : - 2X+3Y = 10
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A straight line passes through the point (2,3) and is such that the su...
Given:
- A straight line passes through the point (2,3).
- The sum of its intercepts on the coordinate axes is 10.
To find:
- The equation of the straight line.
Approach:
1. Let's assume the equation of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
2. We are given that the line passes through the point (2,3), so we can substitute these values into the equation to get 3 = 2m + c.
3. Now, we need to find the intercepts on the coordinate axes. The x-intercept is the point where the line crosses the x-axis, so the y-coordinate will be 0. Similarly, the y-intercept is the point where the line crosses the y-axis, so the x-coordinate will be 0.
4. The sum of the intercepts on the coordinate axes is given as 10. Therefore, we can write the equation 0 + (0 * m) + c = 10.
5. Simplifying the equation, we get c = 10.
6. Substituting the value of c into the equation from step 2, we get 3 = 2m + 10.
7. Solving for m, we get m = -7.
8. Finally, substituting the values of m and c into the equation y = mx + c, we get the equation y = -7x + 10.
Answer:
The equation of the straight line passing through the point (2,3) and with the sum of its intercepts on the coordinate axes as 10 is y = -7x + 10.
- A straight line passes through the point (2,3).
- The sum of its intercepts on the coordinate axes is 10.
To find:
- The equation of the straight line.
Approach:
1. Let's assume the equation of the straight line is y = mx + c, where m is the slope and c is the y-intercept.
2. We are given that the line passes through the point (2,3), so we can substitute these values into the equation to get 3 = 2m + c.
3. Now, we need to find the intercepts on the coordinate axes. The x-intercept is the point where the line crosses the x-axis, so the y-coordinate will be 0. Similarly, the y-intercept is the point where the line crosses the y-axis, so the x-coordinate will be 0.
4. The sum of the intercepts on the coordinate axes is given as 10. Therefore, we can write the equation 0 + (0 * m) + c = 10.
5. Simplifying the equation, we get c = 10.
6. Substituting the value of c into the equation from step 2, we get 3 = 2m + 10.
7. Solving for m, we get m = -7.
8. Finally, substituting the values of m and c into the equation y = mx + c, we get the equation y = -7x + 10.
Answer:
The equation of the straight line passing through the point (2,3) and with the sum of its intercepts on the coordinate axes as 10 is y = -7x + 10.
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A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?
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A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?.
A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10.Find the equation of the straight line.?.
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