Question

Calculate the shortest distance from the given point to the line indicated. Round your answer to the nearest tenth, if necessary.(2, 1) to x−y=−1

Answer 1

`x-y=-1`

First we gonna calculate the value of the function when x have the same value that the given point x=2

Then in x - y = - 1

`y=x+1`

Then in x= 2

`y=(2)+1=3`

One of the point of the line is then: (2 , 3 )

Lets calculate the the x when y have the value of the given point y=1

Then in x - y = -1

`x=-1+y`

Then in y= 1

`x=-1+1=0`

Other point of the line is then: (0 , 1)

To determine the shortest distance from the given point to the line you take the coordinates in each axis and determine the distance as follow: