Problem: Write -5x + 4y = 6 in slope intercept form.
Solution:
First add 5x to both sides.
-5x + 5x + 4y = 5x + 6
This gives you:
4y = 5x + 6
Now divide both sides by 4.
4y/4 = (5x + 6)/4
y = 5/4x + 6/4
or in simplified terms.
y = 5/4x + 3/2
Hope this helps.