Which one of the following equations has a graph that is parallel to the line shown in the graph below?
B) None of the above

Question

Which one of the following equations has a graph that is parallel to the line shown in the graph below? 
B) None of the above

Quizplus · Accepted Answer

A line is parallel to another line if and only if it has the same slope as that line. From the given graph, the slope of the line is $\frac{1}{2}$. Looking at the answer choices, the only equation with a slope of $\frac{1}{2}$ is C, which is $y=\frac{1}{2}x+4$. Thus, the graph of C is parallel to the line shown in the given graph.

Which One of the Following Equations Has a Graph That