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The gradient of the interval between the points ({x0},{y0}) and ({x1},{y1}) is $m=$ [[0]].
{line_and_2points()}
\n\nDetermine the gradient by $m=\\dfrac{\\text{rise}}{\\text{run}}$, or $m=\\dfrac{y_2-y_1}{x_2-x_1}$.
\n\nSo in particular, $\\displaystyle m=\\frac{\\simplify[!collectNumbers]{{y1}-{y0}}}{\\simplify[!collectNumbers]{{x1}-{x0}}}$$=\\dfrac{\\simplify{{y1-y0}}}{\\simplify{{x1-x0}}}$$\\displaystyle =\\simplify[basic, fractionNumbers, simplifyFractions]{{(y1-y0)/(x1-x0)}}$.
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", "extensions": ["jsxgraph", "polynomials"], "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "Identifying y=mx+b given two points
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