9514 1404 393
Answer:
√34 ≈ 5.831
Step-by-step explanation:
The distance (d) between point (x, y) and the line ax +by +c = 0 is given by ...
d = |ax +by +c|/√(a²+b²)
Using the given values, the distance is ...
d = |3(6) +5(3) +1|/√(3² +5²) = 34/√34
d = √34
The distance between the point and the line is √34 ≈ 5.831 units.
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The graph confirms this result by showing the line is tangent to a circle with radius √34 centered on (6, 3).
