Question

How do you find the slope of the line described by -2x - 6y = 12?

Answer 1

the slope is `-1/3`

Explanation:

there are two ways, solve for y or graph
Add 2x to both sides
`-6y=2x+12`
next divide by -6
`y=2/6 x- 2`
-2/6 reduces to `-1/3`

graph{-2x-6y=12 [-10, 10, -5, 5]}

down one over three down one over three to get from
the x-intercept to the y-intercept. 1/3 and since it's a negative slope, `-1/3`