Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b where m is the slope and b the y-intercept.
Line through the point (-1, 2), parallel to the line –4x – 9y = -7 OR 
New Line
y = (-4/9)x + b
2 = (-4/9)·-1 + b |Using ordered pair (x,y):(-1,2) to solve for b
14/9 = b
y = (-4/9)x + 14/9