Given the equation:
6x + 2y = 8
Let's identify the slope.
To find the slope, apply the slop-intercept form:
y = mx + b
Where m is the slope.
Rewrite the given equation for y.
We have:
6x + 2y = 8
Subtract 6x from both sides:
6x - 6x + 2y = -6x + 8
2y = -6x + 8
Divde all terms by 2:
[tex]\begin{gathered} \frac{2y}{2}=\frac{-6x}{2}+\frac{8}{2} \\ \\ y=-3x+4 \end{gathered}[/tex]Thus, the equation in y-intercept form is:
y = -3x + 4
Compare the equation with the general slope-intercept form where m is the slope:
y = mx + b
y = -3x + 4
m = -3
Therefore, the slope of the given line is -3
ANSWER:
-3
