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Straight linesAQA A-Level Maths: Mind map

Gradient
Equation forms
General form

Straight lines

equations and models

gradienty−y1=m(x−x1)y-y_1=m(x-x_1)ax+by+c=0ax+by+c=0
Parallel and perpendicular
Models
Exam tips

Exam questions on Straight lines

  1. The line l1l_1 passes through A(1,2)A(1,2) and B(5,12)B(5,12).
    Find the coordinates of the point where l1l_1 crosses the yy-axis.2 marks
  2. The line mm has equation 3x+4y−12=03x+4y-12=0.
    Find the equation of the line parallel to mm that passes through the point (8,−1)(8,-1). Give your answer in the form ax+by+c=0ax+by+c=0, where aa, bb and cc are integers.2 marks
  3. The points A(2,1)A(2,1) and B(6,3)B(6,3) are given.
    Find an equation of the perpendicular bisector of ABAB, giving your answer in the form ax+by+c=0ax+by+c=0 where aa, bb and cc are integers.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).