Question 1048400
the standard slope-intercept form for an equation of a line 
where m is the slope and b the y-intercept is:
{{{y = highlight_green(m)x + highlight(b)}}}  

4x = y - 8  0r  y = 4x + 8 , m = 4 Green
***Using point-slope form, {{{y - y[1] = highlight_green(m)(x - x[1])}}}
P(2,-7), m = -1/4 (negative reciprocal, line perpendicular)
y + 7 = (-1/4)(x - 2)
y + 7 = (-1/4)(x) +1/2
y = (-1/4)x - 13/2 Blue
{{{drawing(300,300,  -10, 10, -10, 10,  grid(1),
circle(0, 8,0.4),
circle(0,-6.5,0.4),
circle(2,-7,0.4),
graph( 300, 300,  -10, 10, -10, 10,0, 4x+8,(-1/4)x - 13/2 ))}}}