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  2. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    Conversely, every line is the set of all solutions of a linear equation. The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding ...

  3. Linear function (calculus) - Wikipedia

    en.wikipedia.org/wiki/Linear_function_(calculus)

    Linear functions are related to linear equations. ... The simplest is the slope-intercept form: () ... For example, the linear function = ...

  4. Y-intercept - Wikipedia

    en.wikipedia.org/wiki/Y-intercept

    Graph = with the -axis as the horizontal axis and the -axis as the vertical axis.The -intercept of () is indicated by the red dot at (=, =).. In analytic geometry, using the common convention that the horizontal axis represents a variable and the vertical axis represents a variable , a -intercept or vertical intercept is a point where the graph of a function or relation intersects the -axis of ...

  5. Line coordinates - Wikipedia

    en.wikipedia.org/wiki/Line_coordinates

    A linear equation in line coordinates has the form al + bm + c = 0, where a, b and c are constants. Suppose (l, m) is a line that satisfies this equation.If c is not 0 then lx + my + 1 = 0, where x = a/c and y = b/c, so every line satisfying the original equation passes through the point (x, y).

  6. Simple linear regression - Wikipedia

    en.wikipedia.org/wiki/Simple_linear_regression

    Graph of points and linear least squares lines in the simple linear regression numerical example. The 0.975 quantile of Student's t-distribution with 13 degrees of freedom is t * 13 = 2.1604, and thus the 95% confidence intervals for α and β are

  7. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Log–log_plot

    The red line represents the 'Median line', while the blue line is the 'Mean line'. This plot illustrates a dataset with a power-law relationship between the variables, represented by a concave line. When both variables are log-transformed, as shown in the right plot of Figure 1, titled 'Log-Log Linear Line with Normal Noise', the relationship ...

  8. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    y=f(x)=.5x+1 or f(x,y)=x-2y+2=0 Positive and negative half-planes. The slope-intercept form of a line is written as = = + where is the slope and is the y-intercept. Because this is a function of only , it can't represent a vertical line.

  9. Line (geometry) - Wikipedia

    en.wikipedia.org/wiki/Line_(geometry)

    These equations can be derived from the normal form of the line equation by setting = ⁡, and = ⁡, and then applying the angle difference identity for sine or cosine. These equations can also be proven geometrically by applying right triangle definitions of sine and cosine to the right triangle that has a point of the line and the origin as ...

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