Answer:
- 2
Step-by-step explanation:
The slope intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line in the standard form
[tex]Ax+By=C[/tex]
Convert to the slope-intercept form:
[tex]4x+2y=12[/tex] subtract 4x from both sides
[tex]2y=-4x+12[/tex] divide both sides by 2
[tex]y=-2x+6[/tex]
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
[tex]m=-\dfrac{A}{B}[/tex]
We have A = 4 and B = 2. Substitute:
[tex]m=-\dfrac{4}{2}=-2[/tex]
