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Exam-Style Question on Graphs

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Question id: 212. This question is similar to one that appeared on an IB Studies paper in 2015. The use of a calculator is allowed.

Consider a straight line graph L1, which intersects the x-axis at A(8, 0) and the y-axis at B (0, 4).

(a) Write down the coordinates of C, the midpoint of line segment AB.

(b) Calculate the gradient of the line L1.

The line L2 is parallel to L1 and passes through the point (5 , 9).

(c) Find the equation of L2. Give your answer in the form \(ay + bx + c = 0\) where \(a, b \text{ and } c \in \mathbb{Z}\).

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