What is the distance of the point (2, 3) from the line 2x + 3y + 4 = 0 ?

Let the distance be d

$\Rightarrow d=\left|\frac{2 x+3 y+4}{\sqrt{2^{2}+3^{2}}}\right|$

$d_{(2,3)}=\left|\frac{2 \times 2+3 \times 3+4}{\sqrt{13}}\right|$

$d_{(2,3)}=\left|\frac{17}{\sqrt{13}}\right|$

$\Rightarrow d_{(2,3)}=\frac{17}{\sqrt{13}}$ units