8)
Consistent and Dependent
9)
Consistent and Independent
10)
Inconsistent
11 ) (0, 3)
12) (-2, 1)
Step-by-step explanation:
Question 8
The slope-intercept equation of the line is: y = x - 2
Therefore, the correct set of equations is:
Consistent and Dependent, as:
Same lineInfinite solutions
Question 9
The slope-intercept equation of the lines are:
y = x - 8 and y = -x
Therefore, the correct set of equations is:
Consistent and Independent, as:
Intersects at 1 pointOne solution
Question 10
The slope-intercept equation of the lines are:
y = -2x + 3 and y = -2x + 1
Therefore, the correct set of equations is:
Inconsistent
Parallel linesNo solutions
Question 11
Solution is where the two lines intersect:
Solution (0, 3)
Question 12
Solution is where the two lines intersect:
Solution (-2, 1)