What is the slope of the line whose equation is 5y + 6x - 2 = 0

All you need to do to find the slope here is put it into y = mx + b format.

5y + 6x - 2 = 0

the goal is to get the y alone, so ...

5y = 2 - 6x

divide both sides by 5

y = 2/5 - (6/5) x

then, just to be clearer for y = mx + b ... y = (-6/5) x + (2/5)

the slope should be (-6/5)

Question 251021: What is the slope of the line whose equation is 5y + 6x - 2 = 0?

slope = 6

slope = - 6/5

slope = 5/6