CSMC 2021 Part A - Question 3, CEMC UWaterloo

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Difficulty: 4

This problem is tagged with csmc, csmc21, highschool.

(Canadian Senior Mathematics Contest 2021, Part A, Question 3, CEMC - UWaterloo)

Consider the points $P (0,0)$, $Q (4,0)$ and $R (1, 2)$. The line with equation $y=mx+b$ is parallel to $PR$ and passes through the midpoint of $QR$. What is the value of $b$?

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