Analyzing the Graph: Discover the Slope and Intercept of a Linear Line

Question

Which statement best describes the graph below?

xy

Step-by-Step Solution

To solve this problem, let's analyze the given graph:

  • The graph shows a straight line plotted on a coordinate grid.
  • The line is drawn from the lower-left corner to the upper-right corner. This indicates that for increasing values of x x , the corresponding y y values also increase.

According to the properties of linear graphs:

  • A line with a positive slope rises from left to right, which indicates an ascending function.
  • A line with a negative slope falls from left to right, which indicates a descending function.
  • A line with a zero slope is horizontal, indicating a constant function.

Given that the line in the graph rises as x x increases, it has a positive slope. Therefore, it represents an ascending function.

Thus, the correct statement about the graph is: The graph represents an ascending function.

Answer

The graph represents an ascending function.