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Equation of a straight lineEdexcel International A Level Maths: Mind map

Gradient
Equation forms
Two points

Straight lines

coordinate geometry

my = mx + cax + by + c = 0
Intercepts
Useful results
Exam tips

Exam questions on Equation of a straight line

  1. A line ll passes through the points A(2,5)A(2,5) and B(6,13)B(6,13).
    Find the coordinates of the point where ll meets the xx-axis.2 marks
  2. The line mm has equation 3x−4y+8=03x-4y+8=0.
    Find the xx-coordinate of the point on mm where y=7y=7.2 marks
  3. A line l1l_1 passes through the points P(−3,4)P(-3,4) and Q(5,−2)Q(5,-2).
    Find an equation of the line l1l_1, 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).