Question

Find the equation of the straight line whose $x$ and $y$-intercepts on the axes are given by $2$ and $3$.

• A. $3x-2y+6=0$
• B. $3x+2y-6=0$
• C. $3x-2y-6=0$
• D. none of these

Answer 1

The correct option is B $3x+2y-6=0$

Consider the given points.

$(2,0)$ and $(0,3)$

We know that the equation of the line which is passing through the points

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So,

$y-0=\frac{3-0}{0-2}(x-2)$

$y=\frac{3}{-2}(x-2)$

$-2y=3x-6$

$3x+2y-6=0$

Hence, Option $B$ is the answer.