Coordinate Geometry: Straight Lines | AQA L2 Further 8365 | 40 Worked Examples

40 fully worked coordinate geometry questions on the straight line for AQA Level 2 Certificate in Further Mathematics (8365), pitched exactly at the untiered 8365 standard (above GCSE Higher, bridging to AS). Covers the whole of spec section 3.1 to 3.6: the gradient of a line from two points and from an equation (3.1), the parallel and perpendicular gradient conditions m1 = m2 and m1 m2 = -1 (3.2), the distance between two points by Pythagoras with answers left as exact surds (3.3), the midpoint and the AQA-favourite ‘use ratio to find a point that divides a segment’ (3.4), the equation of a line in the forms y = mx + c and y - y1 = m(x - x1) with interpretation of gradient and intercept (3.5), and drawing and using lines: axis crossings, the point of intersection of two lines, perpendicular bisectors, collinearity, right-angled-triangle proofs and area from coordinates (3.6). Progressive difficulty runs Easy through Standard to Challenging, ending with perpendicular-bisector, altitude and ‘angle ABC = 90 degrees’ problems. Every solution is broken down to one atomic step per line with a plain-English note on each line and AQA mark-scheme codes (M1, A1, B1) folded in on the real mark-earning lines, so students see exactly where the marks come from. A key-facts box states the gradient, distance, midpoint, section-ratio and equation results, none of which are given in the 8365 exam. The coordinate geometry of circles (spec 3.7 to 3.8) is covered in the companion pack. Ideal for classwork, homework, revision and 1-1 tuition.