Answer:
<h2>- 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)
m - slope
b - y-intercept
We have the equation of a line in the standard form
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
Convert to the slope-intercept form:
<em>subtract 4x from both sides</em>
<em>divide both sides by 2</em>
![y=-2x+6](https://tex.z-dn.net/?f=y%3D-2x%2B6)
Therefore the slope is equal to -2.
Other method:
If we have the equation of a line in standard form Ax + By = C
or in general form Ax + By + C = 0, then the formula of a slope is
![m=-\dfrac{A}{B}](https://tex.z-dn.net/?f=m%3D-%5Cdfrac%7BA%7D%7BB%7D)
We have A = 4 and B = 2. Substitute:
![m=-\dfrac{4}{2}=-2](https://tex.z-dn.net/?f=m%3D-%5Cdfrac%7B4%7D%7B2%7D%3D-2)