Question

Find the equation of the line through the $(2,3)$ and which is parallel to $5x+4y-20=0$

Answer 1

The point is $(2,3)$

The line is parallel to $5x+4y-20=0$ is $5x-4y+k=0$

$⟹5\left(2\right)+3\left(3\right)+k=010+9+k=0k=-19$

So the equation is $5x+3y-19=0$