Question

If $(5,-2)$ is a point on the line $PQ$ and slope of the line $PQ$ is $2$, write the equation of the line $PQ.$

Answer 1

The equation of line passing through (5,-2) and having slope 2 is
We know the standard equation of a line in slope-point form is
$y-y_1=m(x-x_1)$ for the line passing through $(x_1,y_1)$ and Slope $m$
Thus we have,
$y+2=2(x-5)$
$\Rightarrow y=2x-10-2$
$\Rightarrow y=2x-12$