Answer:
In your equation 4x+5y=-9, you've got to but your equation in slope intercept form which is y=mx+b.
First we need to get the y by itself.
Subtract 4x from each side to get:
5y=-4x-9
Next we want to divide both sides by 5.
y=-4/5x-9/5
Your slope is m which in our case -4/5.
Then our y-intercept is b or -9/5.
Your answer would then be C. slope=-4/5 and y-intercept=-9/5.
Hope this helps ;)
