distance between a point and a line.
asked Dec 6, 2017 in Algebra 2 Answers by anonymous

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

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 Dec 6, 2017 by Rod Top Rated User (592,720 points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,852 questions
86,192 answers
69,804 users