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Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.?
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Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6...
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Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6...
Lines Passing Through Given Points
To draw the lines passing through the points (2, 6) and (8, 5), as well as (6, 2) and (8, 5), we need to find their equations.
Line 1: From (2, 6) to (8, 5)
- Finding the slope (m):
- m = (y2 - y1) / (x2 - x1)
- m = (5 - 6) / (8 - 2) = -1 / 6
- Using the point-slope form (y - y1 = m(x - x1)):
- y - 6 = -1/6(x - 2)
- Rearranging gives: y = -1/6x + 7/3 + 6
- Final equation: y = -1/6x + 20/3
Line 2: From (6, 2) to (8, 5)
- Finding the slope (m):
- m = (5 - 2) / (8 - 6) = 3 / 2
- Using the point-slope form:
- y - 2 = 3/2(x - 6)
- Rearranging gives: y = 3/2x - 9 + 2
- Final equation: y = 3/2x - 7
Finding the Point of Intersection
To find the intersection point, we set the equations equal to each other:
- -1/6x + 20/3 = 3/2x - 7
Solving for x:
- Multiply through by 6 to eliminate the fraction:
- -x + 40 = 9x - 42
- 10x = 82
- x = 8.2
Substituting x back to find y:
- y = 3/2(8.2) - 7 = 4.3
Point of Intersection:
- The lines intersect at point (8.2, 4.3).
This point is where both lines meet on the coordinate plane.
To draw the lines passing through the points (2, 6) and (8, 5), as well as (6, 2) and (8, 5), we need to find their equations.
Line 1: From (2, 6) to (8, 5)
- Finding the slope (m):
- m = (y2 - y1) / (x2 - x1)
- m = (5 - 6) / (8 - 2) = -1 / 6
- Using the point-slope form (y - y1 = m(x - x1)):
- y - 6 = -1/6(x - 2)
- Rearranging gives: y = -1/6x + 7/3 + 6
- Final equation: y = -1/6x + 20/3
Line 2: From (6, 2) to (8, 5)
- Finding the slope (m):
- m = (5 - 2) / (8 - 6) = 3 / 2
- Using the point-slope form:
- y - 2 = 3/2(x - 6)
- Rearranging gives: y = 3/2x - 9 + 2
- Final equation: y = 3/2x - 7
Finding the Point of Intersection
To find the intersection point, we set the equations equal to each other:
- -1/6x + 20/3 = 3/2x - 7
Solving for x:
- Multiply through by 6 to eliminate the fraction:
- -x + 40 = 9x - 42
- 10x = 82
- x = 8.2
Substituting x back to find y:
- y = 3/2(8.2) - 7 = 4.3
Point of Intersection:
- The lines intersect at point (8.2, 4.3).
This point is where both lines meet on the coordinate plane.
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Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.?
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Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.?.
Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw lines passing through the point ( 2,6 ), ( 8,5 ) and ( 6,2 ), ( 6,2 ), (8, 5 ). Write the point of intersection of these two lines.?.
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