gradient

(noun)

of a function y = f(x) or the graph of such a function, the rate of change of y with respect to x, that is, the amount by which y changes for a certain (often unit) change in x

Related Terms

Examples of gradient in the following topics:

  • Line of Best Fit

    • calculate the gradient ($B$) of the line using the formula: $\text{gradient}=\frac { \text{difference in vertical measures}}{\text{difference in horizontal measures}}$

  • The Equation of a Line

    • In this particular equation, the constant $m$ determines the slope or gradient of that line, and the constant term $b$ determines the point at which the line crosses the $y$-axis, otherwise known as the $y$-intercept.

  • Slope and Intercept

    • The slope or gradient of a line describes its steepness, incline, or grade.

  • Plotting Lines

    • Further, measurements such as the gradient or the area under the curve can be made visually, leading to more conclusions or results from the data.