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Straight Lines - HSN.uk.net - Free notes and resources for ...
Higher Mathematics CfE Edition This document w as produced specially for the website, and we require that any copies or derivative works attribute the work to Higher Still notes . For more details about the copyright on these notes , please see hsn . Straight Lines Contents Straight Lines 1 1 The Distance Between Points A 1 2 The Midpoint Formula A 3 3 Gradients A 4 4 Collinearity A 6 5 Gradients of perpendicular Lines A 7 6 The Equation of a Straight line A 8 7 Medians A 11 8 Altitudes A 12 9 perpendicular Bisectors A 13 10 Intersection of Lines A 14 11 Concurrency A 17 Higher Mathematics Straight Lines Page 1 CfE Edition hsn . Straight Lines 1 The Distance Between Points A Points on Horizontal or Vertical Lines It is relatively straightforward to work out the distance between two points which lie on a line parallel to the x- or y-axis.
5 Gradients of Perpendicular Lines A Two lines at right-angles to each other are said to be perpendicular. If perpendicular lines have gradients . m. and . m. ⊥. then . mm. ×=−. ⊥. 1. Conversely, if . mm. ×=−. ⊥. 1. then the lines are perpendicular. The simple rule is: if you know the gradient of one of the lines, then the
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