Final answer:
To create the graph, plot points for both equations and connect them to form a line. The graphs are similar in terms of their negative slope and y-intercept, but differ in terms of shape and orientation.
Step-by-step explanation:
To create a graph showing the equations y = 1/4 and y = 1/4 - 5, we can plot points for both equations and connect them to form a line. For y = 1/4, we can choose different values of x and solve for y. For y = 1/4 - 5, we can also choose different values of x and solve for y. Once we have multiple points for each equation, we can plot them on a graph.
Similarities between the graphs:
- Both graphs are linear and have a negative slope.
- Both graphs intersect the y-axis at the same point, which is y = 1/4 or y = -4.75.
Differences between the graphs:
- The graph of y = 1/4 is a horizontal line, whereas the graph of y = 1/4 - 5 is a slanted line.
- The graph of y = 1/4 has a y-intercept at y = 1/4, while the graph of y = 1/4 - 5 has a y-intercept at y = -4.75.
Overall, the graphs are similar in terms of their negative slope and y-intercept, but they differ in terms of their shape and orientation.