Question 840987
Parallel lines always have the same slope, so we need to determine the slope of this line:

4x+9y=14

9y=-4x+14


y=(-4/9)x+(14/9)

The slope is -4/9, new we need to plug in our point and slope to the point slope formula:

y-y1=m(x-x1); where m is the slope, x1 is the x-coordinate, and y1 is the y coordinate


y-5=-4/9(x-0)

y-5=-4/9x

[y=-4/9x+5]

Hope this helps!