SOLUTION: The endpoints of segment AB are A(0, 8) and B(15, 0). What is the shortest distance, in units, from P(0, 0) to segment AB?

Algebra ->  Length-and-distance -> SOLUTION: The endpoints of segment AB are A(0, 8) and B(15, 0). What is the shortest distance, in units, from P(0, 0) to segment AB?       Log On


   

Question 262991: The endpoints of segment AB are A(0, 8) and B(15, 0). What is the shortest
distance, in units, from P(0, 0) to segment AB?
Answer by Alan3354(69443) About Me  (Show Source):
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The endpoints of segment AB are A(0, 8) and B(15, 0). What is the shortest
distance, in units, from P(0, 0) to segment AB?
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Find the slope of AB
m = -8/15
The shortest line from the Origin will be perpendicular to AB, so its slope is:
+15/8
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y = mx + b
y = 15x/8