Find the distance from the point P(3,5) to the line x= -2

I'd greatly appreciate your help. Thanks.

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- Mar 18th 2008, 03:34 PMmiorrbFinding Distances - Please help
Find the distance from the point P(3,5) to the line x= -2

I'd greatly appreciate your help. Thanks. - Mar 18th 2008, 03:36 PMrualin
By this, I assume you need to find the

*shortest*distance to the line. Personally, I would simple draw it, connect the dots, and count. - Mar 18th 2008, 03:41 PMmiorrb
could you explain, since x= -2 is a vertical line that is undefined?

- Mar 18th 2008, 03:50 PMrualin
Imagine a point anywhere, except on the line x = -2. Then that point's shortest path to the line x = -2 is a horizontal line whose length is the absolute value of the difference between this point's x-coordinate and -2.

Here you have the point (3, 5), whose x-coordinate is 3. The corresponding shortest distance to the line x = -2 is then $\displaystyle |3-(-2)| = |5| = 5$.

I know a picture is worth a thousand words but I don't know how to make pictures of graphs.

EDIT: Note this distance would be the same regardless of the value of y. - Mar 18th 2008, 03:54 PMPlato
Every point on the line x=-2 is 2 units from the y-axis.

How far is the point (3,5) from the y-axis?

Now put then together.