Question

The $x$ and $y$ intercepts of the following line is:

$x+2y-6=0$

• A. $a=6,b=-3$
• B. $a=6,b=3$
• C. $a=\frac{1}{6},b=\frac{1}{3}$
• D. $a=\frac{1}{6},b=-\frac{1}{3}$

Answer 1

Answer: (B)

$a=6,b=3$

The given equation of line: $x+2y-6=0$
$x$ - intercept of the line is when $y=0$ and $y$ - intercept of line is when $x=0$.
Thus, put $y=0$
$\Rightarrow x-6=0$
$\Rightarrow x=6$
Put $x=0$
$\Rightarrow 2y-6=0$
$\Rightarrow y=3$
Thus, $x$ intercept = $6$ and $y$ - intercept $=$ $3$.