Mathematics
Find the equation of the line parallel to the line 3x + 2y = 8 and passing through the point (0, 1).
Straight Line Eq
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Answer
Given,
⇒ 3x + 2y = 8
⇒ 2y = -3x + 8
⇒ y =
Comparing above equations with y = mx + c we get,
Slope =
Since, parallel lines have equal slope.
∴ Slope of line parallel to 3x + 2y = 8 is .
By point-slope form,
⇒ y - y1 = m(x - x1)
⇒ y - 1 =
⇒ 2(y - 1) = -3x
⇒ 2y - 2 = -3x
⇒ 3x + 2y - 2 = 0.
Hence, equation of the line passing through (-2, 1) and parallel to 3x + 2y = 8 is 3x + 2y - 2 = 0.
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