On a coordinate grid, point P has coordinates (3,2). Points Q and R have coordinates (8,6) and (4,-5) respectively. Which of points Q and R is closer to point P? You must show full working to support your answer.

Point Q is closer

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Explanation:

Use the distance formula to calculate the length of segment PQ

PQ is roughly 6.403 units long.

Repeat the same type of calculations, but this time we want to find the length of segment PR.

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To summarize, we have these approximate segment lengths.

Segment PQ is shorter, which means Q is the closer point.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.