Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:
![6x+3y=12](https://tex.z-dn.net/?f=6x%2B3y%3D12)
Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>
![y=-2x+4](https://tex.z-dn.net/?f=y%3D-2x%2B4)
slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>