## Algebra 2 Common Core

Simplify each equation to slope-intercept form by isolating $y$ on the left side: $6y=-2x+8 \\\frac{6y}{6}=\frac{-2x+8}{6} \\y=-\frac{1}{3}x+\frac{8}{6} \\y=-\frac{1}{3}x + \frac{4}{3}$ Other equation: $12y=-4x+4 \\\frac{12y}{12}=\frac{-4x+4}{12} \\y=-\frac{1}{3}x +\frac{1}{3}$ The lines have same slope but different y-intercepts. Thus, they are distinct parallel lines making the system inconsistent.