Question 1125447
slope of given line, -4
slope of wanted line, {{{1/4}}}


HOW?


{{{4x+y=-2}}}-------the given line;
{{{y=-4x-2}}}
{{{y=highlight_green(-4)x-2}}}-----in slope-intercept form, showing the slope of given line


Question asks about the line perpendicular to the given line, so the slope wanted for the PERPENDICULAR line must be  {{{highlight_green(1/4)}}}.



{{{y+1=(1/4)(x-2)}}}---------the line wanted, using the point-slope equation form.