A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find the distance from (2,1) to the line y=2x+3.
The answer is 8/5*root5 by the way, but I want to know how to solve.
I used distance formula.
sqrt ( (x2)^2 + (y+1)^2)
sqrt ( (x2)^2 + (2x+3+1)^2)
sqrt ( (x2)^2 + (2x+4)^2)
sqrt (5x^2 + 12x + 20)
When I enter this on my calculator to solve for x, it cannot do it. What should I do next?
anonymous
 4 years ago
Find the distance from (2,1) to the line y=2x+3. The answer is 8/5*root5 by the way, but I want to know how to solve. I used distance formula. sqrt ( (x2)^2 + (y+1)^2) sqrt ( (x2)^2 + (2x+3+1)^2) sqrt ( (x2)^2 + (2x+4)^2) sqrt (5x^2 + 12x + 20) When I enter this on my calculator to solve for x, it cannot do it. What should I do next?

This Question is Closed

precal
 4 years ago
Best ResponseYou've already chosen the best response.0What kind of calculator are you using? Are you using the solve feature?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes I am usin the solve feature.

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Why don't you use graph paper instead?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I have to use algebraic methods and show my work.

precal
 4 years ago
Best ResponseYou've already chosen the best response.0graphing on graph paper is a way to show your work

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Is there a way to answer the problem algebraically?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, the line to the other linen willl be perpendicular to it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Assuming you want the shortest distance

precal
 4 years ago
Best ResponseYou've already chosen the best response.0using graph paper is a valid method, then you can count the number of units

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Find the equation of a line perpendicular to y=2x+3 and use the distance formula on the intersection

precal
 4 years ago
Best ResponseYou've already chosen the best response.0You could use a point from the equation. I would graph it to decide what point to use. You need two ponts for the distance formula

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Have you studied the formula for finding the perpendicular to a line through a point?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, I'm in Calculus right now, but I don't know how to continue this problem.

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Yep calculus would study that Do the normal line

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Wouldn't the normal slope be 1/2 ?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[y+1=\frac{1}{2}(x2)\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0You could put the equation in the form Ax+By=C=0 and use this formula: \[d=\frac{Am+Bn+C}{\sqrt{A ^{2}+B ^{2}}}\] The point is (m,n)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now set 2x+3=(1/2)x to find the intersection, then use the distance formula

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Get y now, and use this point in your distance formula

precal
 4 years ago
Best ResponseYou've already chosen the best response.0Mertsj what formula did you post? Do you know the name of it? Just curious

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.0Perpendicular distance from a Point to a Line

precal
 4 years ago
Best ResponseYou've already chosen the best response.0ok I have not seen that one before. Good to know

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay I now have two methods of approaching this problem. Thank you all for helping me. :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.