distance

[rahrah]

Find the distance between the point (5, 2) and the line y= 5x + 2 (rounded to the nearest hundredth)

A. 1.36 units
B. 4.81 units
C. 4.9 units
D. 2.19 units

Please help me figure out the answer to this problem...for anyone who just gives me the answer thank you but i would really like to know how to for myself just in case i stumble across a problem like this again.

 

[Deleted member 4993]

Find the distance between the point (5, 2) and the line y= 5x + 2 (rounded to the nearest hundredth)

A. 1.36 units
B. 4.81 units
C. 4.9 units
D. 2.19 units

Please help me figure out the answer to this problem...for anyone who just gives me the answer thank you but i would really like to know how to for myself just in case i stumble across a problem like this again.

For a quick review, go to:

http://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line


You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (not a statement like "Don't know any of these")

Please share your work with us indicating exactly where you are stuck - so that we may know where to begin to help you

 

[JeffM]

Find the distance between the point (5, 2) and the line y= 5x + 2 (rounded to the nearest hundredth)

A. 1.36 units
B. 4.81 units
C. 4.9 units
D. 2.19 units

Please help me figure out the answer to this problem...for anyone who just gives me the answer thank you but i would really like to know how to for myself just in case i stumble across a problem like this again.

Few here wil just give out answers, and you will definitely run across similar problems in the future.

In math, the "word" distance means "shortest distance" unless otherwise explicitly indicated.

Now do you see that means the line of least length joining a point and a line creates a right angle. Why?

Do you know a formula for finding the slope of a line perpendicular to another?

Answer these questions as best you can, and then someone will help you with the next steps.

 

[pka]

Find the distance between the point (5, 2) and the line y= 5x + 2 (rounded to the nearest hundredth)

This should be in your textbook.
If \(\displaystyle \ell:Ax+By+C=0\) is a line and \(\displaystyle P: (p,q)\) is a point then the distance \(\displaystyle D(\ell;P)=\dfrac{|Ap+Bq+C|}{\sqrt{A^2+B^2}}.\)

 

[HallsofIvy]

Geometrically, the shortest distance between a point and a line is measured along the line through the point perpendicular to the given line. Do you know how to find a line through (5, 2) perpendicular to y= 5x+ 2?