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Please help!!! I need help finding the answer to this!

Please help!!! I need help finding the answer to this!-example-1

1 Answer

5 votes

Answer:

option B:

√5

Explanation:

distance from the point to the line is:

d = | ax1 + by1 + c | / √a² + b²

the given point is:

x1, y1 = 1, 3

equation of the line is:

ax1 + by1 + c = 0

the given line is:

2x - y - 4 = 0

i.e.

a = 2,

b = -1, and

c = -4

thus,

d = | 2(1) - 1(3) - 4 | / √ 2² + (-1)²

= | 2 - 3 - 4| / √ 4 + 1

= | -1 - 4 | / √5

= |-5| / √5

= 5/√5

= √5

thus, option B is the correct answer

User Chiducaf
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