Answer
Part A: $L_{2}$
Part B: $L_{1}$
Part C: $L_{3}$
Work Step by Step
Part A:
The line that has a slope of 0 is $L_{2}$. We know this by looking at the slope. A line with a slope of 0 is horizontal, so the only line that is horizontal is $L_{2}$.
Part B:
The line that has a slope of $\frac{-3}{4}$ is $L_{1}$. We know this by looking at the slope. $\frac{-3}{4}$ is a negative number meaning that in the graph, as x increases y will decrease. The only line that has y decreasing as x increases is $L_{1}$.
Part C:
The line that has a slope of 1 is $L_{3}$. We know this by looking at the slope. 1 is a positive number meaning that in the graph, as x increases y will increase. The only line that has y increasing as x increases is $L_{3}$.