Answer:
[tex]\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}[/tex]
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]6x+4y=8[/tex]
Convert to the slope-intercept form:
[tex]6x+4y=8[/tex] subtract 6x from both sides
[tex]4y=-6x+8[/tex] divide both sides by 4
[tex]y=-\dfrac{6}{4}x+\dfrac{8}{4}[/tex]
[tex]y=-\dfrac{3}{2}x+2[/tex]
