Answer:
Consistent independent
x + y = 0 and -x + y = -8
Step-by-step explanation:
<u>Inconsistent</u>: parallel lines, no solutions
<u>Consistent dependent</u>: same line, infinite solutions
<u>Consistent independent</u>: intersects at one point, one solution
Therefore, the pair of lines are Consistent independent
From inspection of the diagram:
One line has a negative slope and the other a positive slope.
One has a y-intercept of 0 and the other a y-intercept of -8.
Therefore, the solution is x + y = 0 and -x + y = -8
Because:
x + y = 0 ⇒ y = -x (neg slope, y-intercept of 0)
-x + y = -8 ⇒ y = x - 8 (pos slope, y-interecept at -8)
