Question

If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3, 2) then the equation of the line will be

• A. 2x + 3y = 12
• B. 3x + 2y = 12
• C. 4x - 3y = 6
• D. 5x - 2y = 10

Answer 1

Answer: (A)

2x + 3y = 12

Answer 2

Equation of line AB is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{y-y_{1}}{x-x_{1}}$ $\Rightarrow - \frac{2}{3} = \frac{y-2}{x-3}$ $\Rightarrow - 2\left(x-3\right)= 3\left(y-2\right)$ $\Rightarrow 2x+3y=12$