Find the equation of the line that is parallel to 4x-5y = 2 and whose distance from the
given line is 5.
1
Expert's answer
2020-10-05T18:22:40-0400
we know that distance between the parallel lines Ax+By+C1=0andAx+By+C2=0
is given by
d=A2+B2∣C1−C2∣
The rough diagram of the given question is given below
Equation of any line parallel to 4x−5y−2=0 is of the form 4x−5y+k=0, where k is constant and its value can be found out by given other geometrical condition.
Now Applying the formula of distance between the parallel lines, we get
On comparing we get A=4,B=−5,C1=−2,andC2=kanddistance(d)=5units
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