Rate of change from a coordinate pair | Maths | Quizalize & Oak National Academy

Starter quiz

Work out the gradient of the line which passes through (6,20) and (7,25).

'5' ✓
Calculate the gradient of this line which goes through the origin.

'7' ✓
A line with negative gradient is drawn through ( -4, 5) and one of these coordinates. Which coordinate could it be?

(-8,2)

(-2,7)

(-1,3) ✓

(2,8)
Work out the gradient of the line joining the coordinates (-5,11) and (-2,2).

$-{1\over 3}$

$-{9\over 7}$

$-3$ ✓

$-{11\over 3}$

$-{11\over 2}$
Match the two coordinate pairs to the gradient of the line passing through them.

(5,6) and (6,8)

⇔

$2$ ✓

(5,6) and (8, 15)

⇔

$3$ ✓

(5,6) and (-3,2)

⇔

$1\over 2$ ✓

(5,6) and (7,3)

⇔

$-{3\over 2}$ ✓

(5,6) and (-4, 15)

⇔

$-1$ ✓
Which set of 3 coordinates lie on a straight line?

(-2,-1), (0,7) and (1,11) ✓

(-5,-3), (-3,3) and (2,13)

(1,12), (5,10) and (7,9) ✓

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Two coordinate pairs can be plotted and joined with a line.
The gradient of this line can be calculated.
The gradient between two points can be calculated without drawing the line.
The gradient between two points can be calculated without drawing the points.
The gradient between any two points on a straight line is the gradient of the line.

When calculating gradient from coordinates, pupils get positive and negative gradients mixed up.

Encourage pupils to sketch the coordinates first and then always look at a positive increase in x.

Parallel - Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.
Gradient - The gradient is a measure of how steep a line is.