Question 1047115: The lines y = 3x - 25 and y = -3/4x + 17 intersect at point P. How far is P from the origin?
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!  .......eq.1
 .......eq.2
-----------------------------------since left sides equal, we have
 ......solve for 
or approximately
find  :
.......eq.1
or approximately
so, the lines intersect at point P ( , )
to find out how far is P from the origin ( ,), use distance formula:
| Solved by pluggable solver: Distance Formula |
The first point is (x1,y1). The second point is (x2,y2)
Since the first point is (0, 0), we can say (x1, y1) = (0, 0)
So  , 
Since the second point is (11.2, 8.6), we can also say (x2, y2) = (11.2, 8.6)
So  , 
Put this all together to get: , , , and
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Now use the distance formula to find the distance between the two points (0, 0) and (11.2, 8.6)
 Plug in , , , and
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Answer:
The distance between the two points (0, 0) and (11.2, 8.6) is exactly  units
The approximate distance between the two points is about 14.1209064864831 units
So again,
Exact Distance: units
Approximate Distance:  units
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