Question

Find the equation of the line passing through $(1,2)$ is parallel to $4x-5y+3=0.$

• A. $4x-5y+6=0$
• B. $4x+5y+6=0$
• C. $4x-5y+3=0$
• D. $4x-5y+1=0$

Answer 1

The correct option is A $4x-5y+6=0$

Lines are parallel which means their slopes are equal.

so slope of given line $4x-5y+3=0$

in form of $y=mx+c$ where $m=$ slope

$5y=4x+3$

$\Rightarrow y=4/5x+3/5$ so $m=4/5$

equation of line for a point and slope is

$(y-y_1)=m(x-x_1)$

$\Rightarrow (y-2)=4/5(x-1)$

$\Rightarrow 5y-10=4x-4$

$\Rightarrow 4x-5y+6=0$