SOLUTION: hai please help me to solve the following problem that is If a straight line passing through the point Q(3,2) and intercept the line x+2y-3=0 at P then find the length of PQ.

Question 1028560: hai please help me to solve the following problem that is
If a straight line passing through the point Q(3,2) and intercept the line x+2y-3=0 at P then find the length of PQ.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The shortest distance(d) from a point to a line is
:
d = | Ax + By + C | / square root(A^2 +B^2)
:
note that the standard form for a line is Ax +By + C = 0
:
we are given
:
Q(3,2) and line x +2y -3 = 0
:
therefore
:
d = | 1(3) + 2(2) -3 | / square root(1^2 + 2^2)
:
d = 4 / square root(5) = 1.788854382 approx 1.8
:

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