Question

The equation of the line through (-3, -5) parallel to 7x + 2y - 4 = 0 is

• A. $7x+2y+31=0$
• B. $7x-2y+30=0$
• C. $7x-2y-4=0$
• D. $2x+7y+30=0$
• E. none of these

Answer 1

The correct option is A $7x+2y+31=0$

The slope of line $7x+2y-4=0$ i.e $y=-\frac{7}{2}x+2$ is $m=-\frac{7}{2}$
The equation of line having slope m and passing through the point $(a,b)$ is given by $y-b=m(x-a)$
Therefore, the equation of line having slope$m=-\frac{7}{2}$and passing through the point $(-3,-5)$ is given by
$y+5=-\frac{7}{2}(x+3)$
$\Rightarrow 2y+10=-7x-21$
$\Rightarrow 7x+2y+31=0$
Option A is correct.