Question

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

$5x-y-\frac{2}{7}=0$

• A. $a=\frac{2}{35}$ and $b=-\frac{2}{7}$
• B. $a=\frac{35}{2}$ and $b=-\frac{7}{2}$
• C. $a=\frac{2}{35}$ and $b=\frac{2}{7}$
• D. $a=\frac{35}{2}$ and $b=\frac{7}{2}$

Answer 1

The correct option is A $a=\frac{2}{35}$ and $b=-\frac{2}{7}$

The given equation of line: $5x-y-\frac{2}{7}=0$
$x$ - intercept of the line is when $y=0$ and $y$ - intercept of line is when $x=0$
Thus, put $y=0$
$\Rightarrow 5x-\frac{2}{7}=0$
$\Rightarrow x=\frac{2}{35}$
Put $x=0$
$\Rightarrow -y-\frac{2}{7}=0$
$\Rightarrow y=-\frac{2}{7}$
Thus, $x$ intercept $=$ $\frac{2}{35}$ and $y$ - intercept $=$ $-\frac{2}{7}$.