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Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4.
None of these
The given line is 2x – y = 4 ⇒ y = 2x – 4 (Converting into the form of y = mx + c)
Its slope = 2. The slope of the parallel line should also be 2.
Hence for the required line
m = 2 and (x1 , y1) = (2, -1).
Equation = (y-y1) / (x/x1) = (y2-y1) / (x2-x1)
⇒ (y-y1) / (x/x1) = m
⇒ y-y1 = m (x-x1) ⇒ y - (-1) = 2(x-2)
⇒ y = 2x – 5.
By: Amit Kumar ProfileResourcesReport error
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