Mathematics
Find the equation of a line passing through the point (2, 3) and having the x-intercept of 4 units.
Straight Line Eq
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Answer
Let the line intersect x-axis at point A.
So, A = (4, 0).
Let B = (2, 3).
By formula,
Slope =
Slope of AB = .
By point-slope form,
⇒ y - y1 = m(x - x1)
⇒ y - 0 = (x - 4)
⇒ 2y = -3(x - 4)
⇒ 2y = -3x + 12
⇒ 3x + 2y = 12.
Hence, the equation of required line is 3x + 2y = 12.
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