Question

Find the x and y intercepts of the line $2x-3y+6=0$, respectively.

• A. $2,3$
• B. $3,2$
• C. $-3,2$
• D. $3,-2$

Answer 1

Answer: (C)

$-3,2$

Consider the given equation.

$2x-3y+6=0$

$2x-3y=-6$

$\frac{x}{-3}+\frac{y}{2}=1$ $.........\left(1\right)$

We know that

$\frac{x}{a}+\frac{y}{b}=1\Rightarrow aandb$are the x-intercept and y-intercept accordingly

On comparing above equation, we get

$a=-3,b=2$

Hence, this is the answer.