Question

Find the equation of the line passing through $(2,1)$ and parallel to the line $2x-y=4$.

• A. $y=\frac{2}{5}x-1$
• B. $y=5x-2$
• C. $y=2x-3$
• D. None of these

Answer 1

The correct option is C $y=2x-3$

We have, $2x-y=4$
$y=2x-4$
Slope $=m=2$
As parallel lines have equal slopes. Hence, the slope of line we need will have slope $=2$.

Assume, equation of line as $y=2x+c$.
Point $(2,1)$ satisfies this equation, hence
$1=2\times 2+c$
$\Rightarrow c=-3$

The equation of line is
$y=2x-3$