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The diagram shows two parallel lines. a) Work out the gradient of line A. b) Write down the gradient of line B.

March 16, 2026Mathematics

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The gradient $m$ of a straight line is calculated using the formula
$m = \frac{y_2 - y_1}{x_2 - x_1}.$
From the diagram, two points on line A are $(1,2)$ and $(2,4)$.
Substitute the coordinates into the formula
$m_A = \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2.$
The gradient of line A is $\mathbf{2}$ .

The diagram shows two parallel lines.
Parallel lines have equal gradients.
Therefore, the gradient of line B is the same as the gradient of line A, which is $\mathbf{2}$ .
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