find the equation of line passing through the point (1,1) and parallel to the line 4x+4y+7=0
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Step-by-step explanation:
Given Find the equation of line passing through the point (1,1) and parallel to the line 4x+4y+7=0
- Let the equation of line AB be 4x + 4y + 7 = 0 and point be P(1,1)
- We need to find slope of the line.
- 4x + 4y + 7 = 0
- 4x + 7 = - 4y
- 4x + 7/ - 4 = y
- Or – 4x – 7 / 4 = y
- Or – x - 7/4 = y
- Or y = - x – 7/4
- This is in the form of y = mx + c
- Slope of line m = - 1
- Now equation of the line passing through the point P(1,1) will be
- Equation of the line (y – yo) = m (x – xo)
- (y – 1) = -1 (x – 1)
- So y – 1 = - x + 1
- Or y – 1 + x – 1 = 0
- Or x + y – 2 = 0
Therefore the required equation of line is x + y – 2 = 0
Reference link will be
https://brainly.in/question/12203603
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