Question

Find the equation of the line through $(–2,3)$ with slope $–4$.

Answer 1

Given, Slope $=-4$
Point $=(-2,3)$
We know that equation of a line passing through the point $(x_0,y_0)$ with slope $m$ is $y-y_0=m(x-x_0)$

Now, required equation of line
$\Rightarrow (y-3)=-4(x-(-2\left)\right)$
$\Rightarrow (y-3)=-4(x+2)$
$\Rightarrow y+4x-3+8=0$
$\Rightarrow y+4x+5=0$
Hence, the required equation of the line is $4x+y+5=0$