Question

The equation of the line passing through point $P(-2,-3)$ and slope $m=\frac{3}{5}$ is

• A. $3x+5y-9=0$
• B. $3x-5y-9=0$
• C. $5y-3x-9=0$
• D. $3x-5y+9=0$

Answer 1

The correct option is B $3x-5y-9=0$

The line passing through a point P(a,b) with slope m is given by:
$(y-b)=m(x-a)$
Here, given $P(-2,-3)$ and $m=\frac{3}{5}$
Thus,
$(y+3)=\frac{3}{5}(x+2)$
$5(y+3)=3(x+2)$
$5y+15=3x+6$
$3x-5y-9=0$