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Question
Find the equations of a line passing through the point (2, 3) and having the x – interecpt of 4 units.
Solution
Since x-intercept is 4 units coordinates of point are (4, 0). Equation of a line passing through (2, 3) and (4, 0) is
y - y1 = `(y_2 - y_1)/(x_2 - x_1)(x - x_1)`
⇒ y - 3 = `(0 - 3)/(4 - 2)(x - 2)`
⇒ y - 3 = `(-3)/(2)(x - 2)`
⇒ 2y - 6 = -3x + 6
⇒ 3x + 2y = 12.
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