In the form y = Mx + b, m is the slope and b is the y intercept. The problem states that the y intercept is 2.

parallel lines have equal slopes. If you rearrange the given equation by solving for y you will have the equation in y = Mx. + b form.

-5x - 9y = -10

+5x. +5x

becomes. -9y = 5x -10. Then to get y by itself divide both sides of the equation by -9

y = (-5/9)x + (10/9). Therefore the slope of the given line is -5/9

the equation of the line parallel to the given line with y intercept of 2 is

y = (-5/9)x +2