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Question

Graham Peterson

01/06/2022 · Junior High School

(a) Find the point \(P\) of intersection of \(x + y - 2 = 0\) and \(2 x - y - 1 = 0\) .

(b) Show that \(P\) satisfies the equation \(x + y - 2 + k ( 2 x - y - 1 ) = 0\) .

(c) Find the equation of the line through \(P\) and \(Q ( - 2,2 ) :\) (i) using the coordinates of both \(P\) and \(Q\) , (ii) without using the coordinates of \(P\) . The two answers should be the same.

Answer
expertExpert-Verified Answer

Spencer Wilson
Experienced Tutor
4.0 (11votes)

\(\text { (a) } ( 1,1 ) \quad \text { (c) } 3 y + x - 4 = 0\)

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