Answer:
y = -3x - 7
Explanation:
To convert the standard form equation to the slope-intercept form, we need to isolate the y. So, subtracting 6x from both sides, we get:
6x + 2y - 6x = -14 - 6x
2y = -14 - 6x
Finally, dividing by 2, we get:
[tex]\begin{gathered} \frac{2y}{2}=\frac{-14-6x}{2} \\ y=-7-3x \end{gathered}[/tex]So, organizing the terms, we get that the slope-intercept form is:
[tex]y=-3x-7[/tex]Where -3 is the slope and -7 is the intercept.