Find the slope of the line:

4x + 5y = - 2

Write in simplest form

y=-4/5x-2/5

subtract 4x from both sides. then it will look like this 5y=-4x-2

then you divide everything by 5

To find the slope of this equation, you need to subtract 4x from both sides. After that is completed, you should have 5y = - 2 - 4x. Then divide 5 by everything. After that step is completed, you should have y = - 2/5 - 4/5 (standard y=mx+b formula). Making the slope of the line, m = - 2/5