find the slope and the y intercept of the line 9y+4x +9=15+4x write in lowest terms

First express the given equation in slope intercept form and then identify the slope and the intercept.

9y+4x +9=15+4x
9y = 4x-4x +15-9
9y = 6
y=2/3 (lowest terms)
or
y=0*x + 2/3
from which we deduce that the slope is 0 (horizontal line) and the y-intercept is 2/3.