Question 840987: Find the equation of the line parallel to 4x + 9y = 14 and passing through the point (0,5). Found 2 solutions by sheldonbbtrocks, Fombitz:Answer by sheldonbbtrocks(115) (Show Source):
You can put this solution on YOUR website! 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!