What is the slope formula?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

What is the slope formula?

Explanation:
Slope tells you how steep a line, measured as the rise per run. If you look at two points (x1, y1) and (x2, y2), the vertical change is y2 − y1 and the horizontal change is x2 − x1. The slope is that ratio: (y2 − y1) / (x2 − x1). This tells you how much y increases for each unit x increases. If x2 − x1 = 0, the line is vertical and the slope is undefined. So the correct form is the ratio of the change in y to the change in x: (y2 − y1) / (x2 − x1). Using the opposite order in the numerator would flip the sign, and changing to multiplication or to the reciprocal would not express slope.

Slope tells you how steep a line, measured as the rise per run. If you look at two points (x1, y1) and (x2, y2), the vertical change is y2 − y1 and the horizontal change is x2 − x1. The slope is that ratio: (y2 − y1) / (x2 − x1). This tells you how much y increases for each unit x increases. If x2 − x1 = 0, the line is vertical and the slope is undefined.

So the correct form is the ratio of the change in y to the change in x: (y2 − y1) / (x2 − x1). Using the opposite order in the numerator would flip the sign, and changing to multiplication or to the reciprocal would not express slope.

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