What is the gradient of a line?

What does it mean/show? How do you calculate it?

✅ Answers

? Best Answer

  • The gradient of a line shows:

    a. How steep the line is.
    b. Whether the line is ascending or descending.

    Mathematically,

    Gradient m = dy/dx

    where dy is the change in the y axis
    for a corresponding change, dx in the x axis

    Given two points on the line (x1,y1) and (x2, y2)

    dy = (y2 – y1)
    dx = (x2 – x1)

    m = (y2 – y1)/(x2 – x1)
    – Chosen by Asker

  • gradient is the slope of the line in numerical terms

    if you know two points on a line then the gradient/slope is

    m = (y2 – y1) /(x2 – x1)

    where (x1,y1) and (x2,y2) are your points

    lines are traditionally written as y = mx + c
    where m is the slope/gradient and c a constant

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