CAIE IGCSE Mathematics E3.6.1 Find the gradient & equation of a straight line parallel to a given

Practise finding equations of parallel straight lines by keeping the gradient fixed and using a given point or x-axis crossing.

Exam points

apply the unchanged parallel gradient and substitute the given point into a linear equation

[Maximum number: 3]

P has coordinates (-1,3) and Q has coordinates (6,4).

Find the equation of the line parallel to PQ that crosses the x-axis at x=2.

$y=\frac17x-\frac27$ or 7y=x-2 oe final answer
M1 for gradient = their (iii)
M1dep for substituting (2,0) in a linear equation with their gradient

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