North Carolina General Contractors Practice Exam

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Prepare for the North Carolina General Contractors Exam with comprehensive quizzes. Study using interactive flashcards and multiple-choice questions, including hints and detailed explanations. Get ready for your certification!

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What does the formula for slope represent?

Run divided by Rise
Rise multiplied by Run
Rise divided by Run
Rise plus Run

The correct answer is: Rise divided by Run

The formula for slope represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. This means that slope is calculated by taking the difference in the y-coordinates (rise) of two points and dividing it by the difference in the x-coordinates (run). This calculation demonstrates how much the vertical value changes for every unit of horizontal change, effectively describing the steepness and direction of the line. In mathematical terms, if you have two points, (x1, y1) and (x2, y2), the slope $ m $ is determined using the formula: \[ m = \frac{(y2 - y1)}{(x2 - x1)} \] This shows that the slope is indeed the rise over the run, confirming that the correct answer focuses on this fundamental concept in coordinate geometry. Understanding slope is crucial for analyzing graphs, as it informs one about the rate of change between variables.