Answer:
Step 1: Convert the given equation from standard form to slope-intercept form.
[tex]2x + 12y = -1\\\\12y = 2x - 1\\\\y = \frac{2}{12}x - \frac{1}{12}\\\\y = \frac{1}{6}x - \frac{1}{12}\\[/tex]
Step 2: Do the opposite-reciprocal of the current slope.
[tex]\frac{1}{6} = \frac{6}{1} = 6 = -6[/tex]
New slope: -6
Because the y-intercept is given, all that is left is to plug the slope and the y-intercept into the equation.
[tex]y = -6x + 9[/tex]
