Question 1046796
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=9 
y = (5/2)x + 9/2  Green
m = (5/2)  Parallel Lines have equal slopes
P(5,-1) on the other Line
***Using point-slope form, {{{y - y[1] = highlight_green(m)(x - x[1])}}}
y+1 = (5/2)(x - 5)
y = (5/2)x - 1 - 25/2
y = (5/2)x -27/2  Blue
{{{drawing(300,300,    -10,10,-15,10,  
 grid(1),
circle(0, -27/2,0.4),
circle(0,5,0.4),
graph( 300, 300, -10,10,-15,10,0, (5/2)x + 9/2, (5/2)x -27/2 ))}}}