1) 8x – 12y = 10; 2/3x - 5/6; slope = 2/3,
y-intercept = -5/6
6x – 9y = 15; 2/3x
- 5/3; slope = 2/3, y-intercept = -5/3
consistent, and independent (parallel lines)
2) 9x + 18 = 21y; 3/7x + 6/7; slope
= 3/7, y-intercept = 6/7
2x + 4y = 22; -1/2x +
11/2; slope = -1/2, y intercept = 11/2
inconsistent
and independent, point of interception (5,3)
3) 2x + 3y = 1; -2/3x + 1/3; slope = -2/3, y-intercept
= 1/3
2 - 4x = 6y; -2/3x + 1/3; slope = -2/3,
y-intercept = 1/3
inconsistent
(same line)