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Slope

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The document defines slope as the ratio of the change in y to the change in x between two points on a line. Slope represents how steep a line is and how much the y-value increases as the x-value increases. It is calculated by taking the rise over the run between two points using their x and y coordinates. Slope is represented by m and remains constant for any two points on the same line.

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Slope
What is Slope ? The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increase s as x increases. The slope is constant (the same) anywhere on the line. Given two points (x1,y1) and (x2,y2), the change in x from one to the other is x2 − x1 (run), while the change in yis y2 − y1 (rise). Substituting both quantities into the above equation generates the formula
What is Slope ? • Slope represented by the letter m. • So = rise run
Example
Positive Slope &Negative Slope
Algebra and geometry
Slope

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Slope

  • 2. What is Slope ? The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increase s as x increases. The slope is constant (the same) anywhere on the line. Given two points (x1,y1) and (x2,y2), the change in x from one to the other is x2 − x1 (run), while the change in yis y2 − y1 (rise). Substituting both quantities into the above equation generates the formula
  • 3. What is Slope ? • Slope represented by the letter m. • So = rise run