distance between a point and a line.
asked 6 days ago in Algebra 2 Answers by anonymous

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1 Answer

The closest distance is the perpendicular from the point to the line.

The equation of the perpendicular has slope 1/3 so the equation of the perpendicular is:

y-2=(x+6)/3 that is y=x/3+4. This meets y=-3x+4 when -3x+4=x/3+4, i.e., x=0 and y=4.

So now we work out the distance between (0,4) and (-6,2): √6²+2²=√40=6.325 approx.

answered 6 days ago by Rod Top Rated User (493,620 points)
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