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iris [78.8K]
3 years ago
12

What is the distance between (4,8), 6=y+ 2x

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

  2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

  \text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}

The general form of your equation for the line is ...

  2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

  \text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}

The distance between the point and line is 2√5.

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