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linear equations
chapter 5 - straight line graphs
Term | Definition |
---|---|
gradient of a linear equation given two points | m = (y2 - y1)/(x2 - x1) |
point-slope form of a linear equation | y - y1 = m(x - x1) |
slope intercept form of a linear equation | y = mx + c, where c is a constant |
parallel lines | have the same gradient |
perpendicular lines | have gradients that are the negative reciprocals to each other (multiply to be -1) |
the cartesian distance between any two given points | sqrt((x2 -x1)^2 + (y2-y1)^2) |
directly proportional graphs | models that use a linear equation that goes through the origin (c=0) |
linear models | appropriate where the data appears to increase at a constant rate |
every model | is based on assumptions |
(alternative) standard form for a linear equation | ax + by + c = 0 |