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  2. Slope - Wikipedia

    en.wikipedia.org/wiki/Slope

    Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

  3. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    the slope field is an array of slope marks in the phase space (in any number of dimensions depending on the number of relevant variables; for example, two in the case of a first-order linear ODE, as seen to the right). Each slope mark is centered at a point (,,, …,) and is parallel to the vector

  4. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Log–log_plot

    The figure at right illustrates the formula. Notice that the slope in the example of the figure is negative. The formula also provides a negative slope, as can be seen from the following property of the logarithm: ⁡ (/) = ⁡ (/).

  5. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The line with equation ax + by + c = 0 has slope -a/b, so any line perpendicular to it will have slope b/a (the negative reciprocal). Let (m, n) be the point of intersection of the line ax + by + c = 0 and the line perpendicular to it which passes through the point (x 0, y 0). The line through these two points is perpendicular to the original ...

  6. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    The green line shows the slope of the velocity-time graph at the particular point where the two lines touch. Its slope is the acceleration at that point. Its slope is the acceleration at that point. In mechanics , the derivative of the position vs. time graph of an object is equal to the velocity of the object.

  7. Logistic map - Wikipedia

    en.wikipedia.org/wiki/Logistic_map

    This tells us that the logistic map with r = 4 has 2 fixed points, 1 cycle of length 2, 2 cycles of length 3 and so on. This sequence takes a particularly simple form for prime k: 2 ⋅ ⁠ 2 k − 1 − 1 / k ⁠. For example: 2 ⋅ ⁠ 2 13 − 1 − 1 / 13 ⁠ = 630 is the number of cycles of length 13. Since this case of the logistic map is ...