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What's the Formula for Slope?

What is the formula for the slope?

Summary

  1. The rise over run formula gives the general idea of what the slope is, and makes the other formulas easier to remember
  2. ∆ means change, so the rise is equal to a change in y, and the run is equal to a change in x
  3. The change in something means that we are taking a difference
  4. So ∆y is the same as the difference, or subtraction, between two y-coordinates
  5. And ∆x is the same as the difference, or subtraction, between two x-coordinates
  6. (x1,y1) and (x2,y2) can be any points on the line we're graphing

Notes

    1. ∆y divided by ∆x is a good formula to use when working with just the graph of a line
    2. ∆ means change
    1. ∆ means change
    2. So that translates to a change in y over a change in x
    3. ∆y divided by ∆x is a good formula to use when working with just the graph of a line
    1. ∆y divided by ∆x is a good formula to use when working with just the graph of a line
    2. ∆ means change
    1. The difference means subtraction
    1. The difference means subtraction
    2. It could be any two y-coordinates we want as long as they are on the line
    1. The x-coordinates we pick must be in the same ordered pair as the y-coordinates we already chose, otherwise, it won't work
    1. ∆y divided by ∆x is a good formula to use when working with just the graph of a line
    2. ∆ means change