Question

what is the equation of the line in point slope form that goes through (-2,-1) and is perpendicular to y=5x+3?

Answer 1

Point slope form is $y-y1=m(x-x1)$

Since we have to write the equation of a perpendicular line we will have to use the slope that is opposite and reciprocal.

$y - (-1) = - \frac{1}{5} (x - (-2))$
$y + 1 = - \frac{1}{5} (x + 2)$

Hope this helps :)