Question 1053260
the standard slope-intercept form for an equation of a line is 
{{{y = highlight_green(m)x + highlight(b)}}}  
where m is the slope and b the y-intercept.  
{{{ 5x + 2y = 3 }}}
y = -(5/2)x + 3/2  m = (-5/2)
***Using point-slope form, {{{y - y[1] = highlight_green(m)(x - x[1])}}}
P(0, 4)
Line  parallel: y = (-5/2)x + 4  Green Line
Line perpendicular: y = (2/5)x +4 Blue Line
{{{drawing(300,300,   -6, 6, -6, 6, grid(1), 
circle(0, 4,0.3),
graph( 300, 300, -6, 6, -6, 6,0, -2.5x+4, .4x + 4) ) }}}