Mathematics
Find the equation of a line parallel to 2y = 6x + 7 and passing through (-1, 1)
Straight Line Eq
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Answer
We know that,
Slope of parallel lines are equal.
Slope of line parallel to line 2y = 6x + 7 is 3.
By point-slope form :
⇒ y - y1 = m(x - x1)
⇒ y - 1 = 3[x - (-1)]
⇒ y - 1 = 3[x + 1]
⇒ y - 1 = 3x + 3
⇒ y = 3x + 3 + 1
⇒ y = 3x + 4.
Hence, equation of line parallel to 2y = 6x + 7 and passing through (–1, 1) is y = 3x + 4.
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