Mathematics
A line intersects x-axis at point (-2, 0) and cuts off an intercept of 3 units from the positive side of y-axis. Find the equation of the line.
Straight Line Eq
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Answer
Let line intersect x-axis at point A.
So, A = (-2, 0)
Let line cuts off an intercept of 3 units from positive side of y-axis at point B.
So, co-ordinates of B are (0, 3).
By formula,
Slope =
Slope of AB = .
By point-slope form,
Equation of AB is :
⇒ y - y1 = m(x - x1)
⇒ y - 0 = [x - (-2)]
⇒ 2y = 3(x + 2)
⇒ 2y = 3x + 6
⇒ 3x - 2y + 6 = 0
⇒ 2y = 3x + 6.
Hence, equation of AB is 2y = 3x + 6.
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