The line passing through the points (−2,5)(-2, 5)(−2,5) and (k,−1)(k, -1)(k,−1) crosses the x x\,x axis at point AAA, the y y\,y axis at point B B\,B and O O\,O is the origin, where k k\,k is a positive integer.
Find an equation of the straight line passing through the points (−2,5)(-2, 5)(−2,5) and (k,−1)(k, -1)(k,−1). Give your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, b b\,b and c c\,c are integers, in terms of kkk.
Find the area of triangle AOB AOB\,AOB in terms of kkk.
260 exam-style questions on Edexcel A Level Maths Straight Line Graphs, covering 5.1 y = mx + c, 5.2 Equations of Straight Lines, 5.3 Parallel and Perpendicular Lines, 5.4 Length and Area, and 5.5 Modelling with Straight Lines. Each one has a worked solution and a mark scheme showing where the marks go.