Answer:
Linear function, zero slope
Step-by-step explanation:
Definition of a horizontal line
A horizontal line neither rises nor falls and has a zero slope. Hence, the equation y = mx + b becomes y = b, where b is the y-intercept. The selected option for the equation of the given graph is correct, that y = 5.
Definition of a function
A function is a relation where any x-coordinate cannot be paired with more than one y-coordiante. Consequently, if a graph contains two or more different points with the same first coordinate, the graph cannot represent a function.
Vertical line test
A great way to test whether a given graph represents a function is by performing the vertical line test. The vertical line test states that if each vertical line drawn intersects the graph at exactly one point, then the relation is a function.
Attached is an edited screenshot of the given graph, showing the results of the vertical line test. The given graph is a function since each vertical line crosses the graph at most once. This implies that each x-coordinate corresponds to exactly one y-coordinate.
Therefore, the given graph represents a linear function with a zero slope.
