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Find the distance between the line 5x - 12y - 169=0 and the origin

User Sekl
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1 Answer

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9514 1404 393

Answer:

13 units

Explanation:

The distance d between the point (x, y) and the line ax+by+c=0 is ...

d = |ax +by +c|/√(a² +b²)

For the given point and line, the distance is ...

d = |5·0 -12·0 -169|/√(5² +(-12)²) = 169/√169 = √169

d = 13

The distance between the line and the origin is 13 units.

User Robiseb
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