## Algebra 1

Red line: $3x+y=6$ Green line: $-3x+y = 6$ Blue line: $3x-y =6$ The red and green lines have the same intercept (6), and the green and blue lines have the same slope. The blue line has a different intercept (-6), and the red line has a different slope (-3).
red line: $3x + y = 6$ $3x + y -3x = 6-3x$ $y = -3x + 6$ green line: $-3x+y = 6$ $-3x+y +3x = 6+3x$ $y = 3x + 6$ blue line: $3x-y =6$ $3x - y +y -6 = 6 + y - 6$ $3x - 6 = y$