What is the slope formula in terms of two points (x1, y1) and (x2, y2)?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the slope formula in terms of two points (x1, y1) and (x2, y2)?

Explanation:
Slope measures how steep a line is by comparing vertical change to horizontal change. For two points (x1, y1) and (x2, y2), the rise is y2 − y1 and the run is x2 − x1, so the slope is m = (y2 − y1) / (x2 − x1). This follows the idea of how much y changes for each 1 unit of x as you move from the first point to the second. If you swap the points, you’d get (y1 − y2)/(x1 − x2), which simplifies to the same slope, since both differences flip signs. Remember, if x2 equals x1, the slope is undefined because you’d be dividing by zero.

Slope measures how steep a line is by comparing vertical change to horizontal change. For two points (x1, y1) and (x2, y2), the rise is y2 − y1 and the run is x2 − x1, so the slope is m = (y2 − y1) / (x2 − x1). This follows the idea of how much y changes for each 1 unit of x as you move from the first point to the second. If you swap the points, you’d get (y1 − y2)/(x1 − x2), which simplifies to the same slope, since both differences flip signs. Remember, if x2 equals x1, the slope is undefined because you’d be dividing by zero.

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