Question 15

The slope of the line shown on the graph is 13.

The slope of the line is determined by the ratio of the rise over the run between two points on the line. In this case, the graph indicates a steep incline, which corresponds to a slope of 13.

A) -0.333333333

This option represents a negative slope, indicating a line that declines as it moves from left to right. However, the graph clearly shows an upward trend, making this option incorrect.

B) -3

Similar to option A, this choice also suggests a negative slope. A slope of -3 would imply a steep decline, which contradicts the observed rising line on the graph. Therefore, this option is also incorrect.

C) 3

While this option indicates a positive slope, it underestimates the steepness of the line shown in the graph. The line rises much more sharply than a slope of 3 would suggest, making this option inaccurate.

D) 13

This option accurately reflects the steep upward slope of the line in the graph. A slope of 13 indicates a significant rise in the y-value as the x-value increases, which matches the characteristics of the line displayed.

Conclusion

The correct answer is 13, as it accurately describes the steep positive slope of the line in the graph. Options A, B, and C fail to represent the correct orientation and magnitude of the slope, reinforcing that D is the only accurate choice.