Find the distance from the point P(3,5) to the line x= -2
I'd greatly appreciate your help. Thanks.
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.