Question

Find the slope of the line: 5x+3y=6

Answer 1

$5x+3y=6\\ 3y=-5x+6\\ y=-\frac{5}{3}x+2\\ \boxed{m=-\frac{5}{3}}$

Answer 2

To get the result we have to transform given formula into y=ax+b form.
Lets do this
5x+3y=6   /-5x  (subtract 5x both sides)
3y=-5x+6  /:3  (divide both sides by 3)
y=$-\frac{5}{3} x+6$
In form y=ax+b we know that a is slope and b is y intersect. We can read from our transformed equation that slope a=$-\frac{5}{3}$and its the result