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

Answer:

The slope of given line is $\frac{1}{2}$

Step-by-step 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 = $\frac{3}{6}$ x +  $\frac{12}{6}$

Or,        y =  $\frac{1}{2}$ x + 2

∴     comparing the equation , it is clear that , here m =  $\frac{1}{2}$

Hence The slope of given line is $\frac{1}{2}$   Answer