Gradient of a line

The Maths Habit Handout to print

Which line is steeper? How do you know?

A

Gradient
How steep a line is.

Gradient = change in ychange in x

Work out the gradient of the line.

Across first, then up or down.
change in ychange in x=42=2

Work out the gradient of the line.

change in ychange in x=62=3

Work out the gradient

  1. across 2, up 8

    4

  2. across 3, up 6

    2

  3. across 4, up 2

    12

Work out the gradient of the line.

Across first, then up or down.
change in ychange in x=42=2

Work out the gradient of the line.

change in ychange in x=−42=−2

Work out the gradient of the line.

Across first, then up or down.
change in ychange in x=42=2

Work out the gradient of the line.

change in ychange in x=−31=−3

Work out the gradient of the line.

Across first, then up or down.
change in ychange in x=42=2

Work out the gradient of the line.

change in ychange in x=24=½

Work out the gradient of the line.

Across first, then up or down.
change in ychange in x=42=2

Work out the gradient of the line.

change in ychange in x=−41=−4

Work out the gradient

  1. across 1, down 5

    −5

  2. across 4, down 8

    −2

Gradient of a line worksheet, page 1

Gradient of a line worksheet, page 2

Answer sheet

  1. A line passes through (1, 3) and (4, 15). Work out its gradient without drawing it.

    4

  2. A line has a gradient of 3 and passes through (2, 5). Where does it cross the y-axis?

    (0, −1)

  1. Work out the gradient.

    3
    xy12312345670

  2. Work out the gradient.

    −2
    xy0123−2−101234

  3. Find the gradient of the line through (1, 2) and (5, 4).

    12
Exit tickets to print