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Coordinate Geometry · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SEquation of a straight lines6 marksPaper 2~9 min
A straight line L1L_1 passes through the points A(2, 5)A(2,\,5) and B(4, 11)B(4,\,11).
(a)
Show that the equation of L1L_1 is y=3x−1y = 3x - 1. [2 marks]
(b)
A second line L2L_2 is perpendicular to L1L_1 and passes through the midpoint MM of ABAB. Determine the equation of L2L_2 in the form y=mx+cy = mx + c. [2 marks]
(c)
Find the coordinates of the point of intersection of L1L_1 and L2L_2, and hence verify that this point is MM. [2 marks]
diagram

Solutions

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