Question

Find the equations of a line passing through the point (2, 3) and having the x – interecpt of 4 units.

Answer 1

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.