Question

How do you find the slope of -3x=6y-2?

Answer 1

general eq of a line is `y=mx+c`

Explanation:

the general equation of a line is : `y=mx+c` where m is the slope of the line .
given is the equation of line : `-3x=6y-2`
rearrange it into the standard equation :
`-3x=6y-2`
`-3x+2=6y`
`-1/2x + 1/3 = y`
now compare this equation with the standard equation to obtain slope of line = `-1/2`

Answer 2

`m = -1/2`

Explanation:

Rearrange the equation into slope intercept form `y = mx + b`:

`-3x = 6y - 2`

Add 2 to both sides:

`-3x + 2 = 6y`

Divide both sides by 6:

`y = -3/6x +2/6`

Simplify:

`y = -1/2 x + 1/3`

slope `= m = -1/2`