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Pearson Edexcel IAL Mathematics P1.2.1 Equation of a straight line

Practise forming straight-line equations from points, gradients and intersections, then present answers in y=mx+c or ax+by+c=0 form.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • calculate a gradient from two points, including surd or fractional coordinates
  • form a line equation through a given point and convert it to the requested form
  • solve simultaneous line equations to find exact intersection coordinates

P1.2.1 - Equation of a straight line question 1

[Maximum number: 2]
Figure 2

Figure 2

Figure 2 shows a sketch of the straight line l and the curve C.
Given that l cuts the y-axis at -12 and cuts the x-axis at 4, as shown in Figure 2,

Given that C
- has equation y=f(x) where f(x) is a quadratic expression
- has a minimum point at (7,-18)
- cuts the x-axis at 4 and at k, where k is a constant

find an equation for l, writing your answer in the form y=mx+c, where m and c are constants to be found.

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