SOLUTION: please help me to solve the following problem that is If a straight line passing through the point P(2,3) and having slope 1 and intercept the line x+y-2=0 at Q then find the len

Question 1028758: please help me to solve the following problem that is
If a straight line passing through the point P(2,3) and having slope 1 and intercept the line x+y-2=0 at Q then find the length of PQ.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
please help me to solve the following problem that is
If a straight line passing through the point P(2,3) and having slope 1 and intercept the line x+y-2=0 at Q then find the length of PQ.
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Form of line::
y = mx + b
Solve for "b"::
3 = 1*2 + b
b = 1
------
y = x + 1
Find point Q::
y - x = 1
y + x = 2
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2y = 3
y = 3/2
x = 2-y = 1/2
Q = (1/2,3/2)
----------------------
Find d(PQ):::: d[(2,3) to (1/2,3/2)]
d = sqrt[(1/2 - 2)^2 + (3/2 - 3)^2] = sqrt[(3/2)^2 + (3/2)^2] (3/2)sqrt(2)
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Cheers,
Stan H.
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