Answer
Part A: $L_{2}$
Part B: $L_{3}$
Part C: $L_{1}$
Work Step by Step
Part A:
The line that has a slope of $\frac{2}{3}$ is $L_{2}$. We know this by looking at the slope. $\frac{2}{3}$ is positive meaning that in the graph, as x increases y also increases. The only line that has y increasing as x increases is $L_{2}$.
Part B:
The line that has a slope of undefined is $L_{3}$. An undefined slope is a vertical line. The only line that is vertical is $L_{3}$.
Part C:
The line that has a slope of -2 is $L_{1}$. We know this by looking at the slope. -2 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 $L_{1}$.
