Find the shortest distance between the point(2, 0) and the line y=3x-4
please show steps
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OpenStudy (akshay_budhkar):
the shortest distance of a point (xi,yi) from a line ax+by+c=o is given by the formula (axi+byi+c)/(\[\sqrt{a^2+b^2}\]) the whole in modulus
OpenStudy (akshay_budhkar):
oh wait did u get it? or does that look confusing o.O
OpenStudy (anonymous):
That look really confusing lol
OpenStudy (akshay_budhkar):
(axi+byi+c) in numerator and sqrt(a^2+b^2) in denominator
OpenStudy (anonymous):
ok got it
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OpenStudy (akshay_budhkar):
so u can just substitute the values n get the answer yourself right? (the formula is derived by some calculus procedure i believe)
OpenStudy (akshay_budhkar):
um you didnt get it?
OpenStudy (anonymous):
I will sure try
OpenStudy (akshay_budhkar):
lol yea do so hehe. its pretty late here and i m too tired to plug in the values n try lol
OpenStudy (anonymous):
I got the first part. I am just not sure where to plug the numbers into. Or there placement.
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OpenStudy (anonymous):
ok have a good night and sleep well
OpenStudy (anonymous):
I am needing to head there myself.
OpenStudy (akshay_budhkar):
write the equation of the line in the form of ax+by+c=0.. then u get the values of a,b and c right? as far as x1 and y1 are concerned they are 2 and 0 as u can see :D