Note
Calculating the Gradient
$$ m = \frac{\Delta y}{\Delta x} $$
mathsyear-1pure-mathsyear-1-pure-maths
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chapter-5-straight-line-graphs
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Finding the Length
To find the length of a line, you can use Pythagoras' Theorem. $$ A^2 = B^2 + C^2 $$ as: $$ d = \sqrt{ x^2 x^1 ^2 + y^2 y^2 ^2 } $$
mathsyear-1pure-mathsyear-1-pure-maths
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Parallel Lines
Parallel lines are two lines which have the same gradient but never touch. Example $$ \begin{array}{1} y {1} = 5x + 2 \\ y {2} = 5x + 4 \end{array} $$ These linear lines are parall...
mathsyear-1pure-mathsyear-1-pure-maths
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Perpendicular Lines
Perpendicular lines are two lines which meet at 90°. If a line has the gradient of $m$, a line perpendicular will have the gradient of $ \frac{1}{m}$. If two lines are perpendicula...
mathsyear-1pure-mathsyear-1-pure-maths