What is the slope of a line that rises 2 units for every 1 unit it runs?

Prepare for the HESI Math Exam with flashcards and multiple choice questions. Each question includes hints and explanations to help you succeed. Get ready for your HESI Math Exam!

The slope of a line is defined as the ratio of the change in vertical position (rise) to the change in horizontal position (run). In this case, the line rises 2 units (the vertical change) for every 1 unit it runs (the horizontal change). To find the slope, you can use the formula:

[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{2 \text{ units}}{1 \text{ unit}} = 2. ]

Therefore, the slope of the line is 2, which indicates that for every single unit moved to the right, the line moves up 2 units. This means the line is relatively steep, reflecting a significant rise compared to the horizontal run. This is why the correct answer is 2; it accurately represents the relationship between the rise and the run.

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