Question

What is the slope of the line given by the equation 6x+2y=8

Answer 1

y=mx + c
m=-3

m= slope....

Answer 2

To find the slope of such an equation, divide the whole equation by the coefficient of y.
Here coefficient of y is 2. Divide the equation by 2.
3x+y=4
Then transpose everything except y to the other side.
y=-3x+4
The coefficient of x is the slope. So m=-3.
A direct way of finding slope is
slope=-(coefficient of x)/(coeffiecient of y)