In this problem, we are trying to compare linear functions from a graph to a given equation.
The Equation:
[tex]y=x-2[/tex]
According the the instructions, we want a graph with a slope that is 1/4 greater than the equation.
Since the slope of the equation is m = 1, the slope of the graphed line should be
[tex]1+\frac{1}{4}=\frac{5}{4}[/tex]
Let's check each answer choice.
The slope of graph A is 3/4, so that won't work for us.
The slope of graph B is 1/2.
Although it's a bit off-centered with respect to the line in the image provided, we can see the graph of C has the slope 5/4. Therefore Graph C is the correct graph.
