Question

I have been struggling figuring out what the answer to this is, what is the slope of the line with equation -3x+6y=12

Answer 1

The slope of given line is
`(1)/(2)`

Explanation:

Given as :

The equation of line is - 3 x + 6 y = 12

Now, The equation of line is written as y = m x + c

Where m is the slope of line

So from given line equation

- 3 x + 6 y = 12

Or, 6 y = 3 x + 12

Or, y =
`(3)/(6)` x +
`(12)/(6)`

Or, y =
`(1)/(2)` x + 2

∴ comparing the equation , it is clear that , here m =
`(1)/(2)`

Hence The slope of given line is
`(1)/(2)` Answer