Question

Find the equation of a line passing through the point (2, 3) and having the x-intercept of 4 units.

Answer 1

The required line passes through A(2, 3).

Also, x-intercept = 4

So, the required line passes through B(4, 0).

Slope of AB = `(0 - 3)/(4 - 2) = (-3)/2 = m`

(x₁, y₁) = (4, 0)

Required equation of the line AB is given by

y – y₁ = m(x – x₁)

`y - 0 = (-3)/2 (x - 4)`

2y = −3x + 12

3x + 2y = 12