Question

The intersect cuts-off by a line from y-axis is twice that from x-axis and the line passes through the point (1, 2). Find the equation of the line

Answer 1

The equation of a line intercept form is 

\(\frac{x}{a}+\frac{y}{b}=1\) 

Given, b = 2 

∴ (1) ⇒ \(\frac{x}{a}+\frac{y}{2a}=1\) 

⇒ 2x + y = 2α 

Since the line passes though the point 

(1, 2), 2. 1 + 2 = 2a ⇒ a = 2 

∴ Equation of the line is 

2x + y – 4 = 0.