Question

What is the slope of the line with equation 6x+3y=12?

Answer 1

The slope m = -2

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation in the standard form:

`6x+3y=12`

Convert to the slope intercept form:

`6x+3y=12` subtract 6x from both sides

`3y=-6x+12` divide both sides by 3

`y=-2x+4`

slope: m = -2

y-intercept: b = 4