Question

which phrase describes the line that appropriately fits the data? a a vertical line b a horizontal line c a line with a positive slope

Explanation:

Step1: Analyze the data points' trend

Observe the scatter plot: as \( x \) (horizontal axis) increases, \( y \) (vertical axis) values generally increase.

Step2: Evaluate each option

• Option A: A vertical line has a constant \( x \)-value, but the data's \( x \) and \( y \) both change, so not vertical.
• Option B: A horizontal line has a constant \( y \)-value, but \( y \) increases with \( x \), so not horizontal.
• Option C: A line with positive slope rises as \( x \) increases, matching the data's trend.

Answer:

C. a line with a positive slope