Question

Find the distance from point A to the given line.

Round to nearest tenth
A(2, −1), y = −x + 4

Answer 1

Let's see what to do buddy...

Explanation:

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Step (1)

To find the distance between the line which formed like :

`ax + by + c = 0`

and the point which is like :

`h = \binom{m}{n} \\`

we use following equation :

`d = \fraca(m) + b(n) + c{ \sqrt{ {a}^(2) + {b}^(2) } } \\`

_________________________________ Step (2)

`y = - x + 4`

`x + y - 4 = 0`

So ;

`a = 1`

`b = 1`

`c = - 4`

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

`d = \frac { \sqrt{ {1}^(2) + {1}^(2) } } = \\`

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

`d = (3)/( √(2) ) \\`

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And we're done.

Thanks for watching buddy good luck.

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