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An intercept triangle and its parallel

8 written marks

The line l passes through \(A(-2,9)\) and \(B(4,-3)\).

Part a · 2 marks

Find an equation of l.

Part b · 3 marks

Find both axis intercepts and the area of the triangle formed by l and the axes.

Part c · 3 marks

A parallel line has positive axis intercepts and encloses four times this area with the axes. Find its equation.

Complete-answer checking, worked solutions and indicative written criteria.

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