anonymous
  • anonymous
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 ( (x-2)^2 + (y+1)^2) sqrt ( (x-2)^2 + (2x+3+1)^2) sqrt ( (x-2)^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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
you don't use X
precal
  • precal
What kind of calculator are you using? Are you using the solve feature?
anonymous
  • anonymous
Yes I am usin the solve feature.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

precal
  • precal
Why don't you use graph paper instead?
anonymous
  • anonymous
I have to use algebraic methods and show my work.
precal
  • precal
graphing on graph paper is a way to show your work
anonymous
  • anonymous
Is there a way to answer the problem algebraically?
anonymous
  • anonymous
Well, the line to the other linen willl be perpendicular to it
anonymous
  • anonymous
Assuming you want the shortest distance
precal
  • precal
using graph paper is a valid method, then you can count the number of units
anonymous
  • anonymous
Find the equation of a line perpendicular to y=2x+3 and use the distance formula on the intersection
precal
  • precal
You 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
  • Mertsj
Have you studied the formula for finding the perpendicular to a line through a point?
anonymous
  • anonymous
Well, I'm in Calculus right now, but I don't know how to continue this problem.
precal
  • precal
Yep calculus would study that Do the normal line
anonymous
  • anonymous
Wouldn't the normal slope be -1/2 ?
anonymous
  • anonymous
-1/2*
anonymous
  • anonymous
\[y+1=\frac{-1}{2}(x-2)\]
anonymous
  • anonymous
\[y=-\frac{1}{2}x\]
Mertsj
  • Mertsj
You 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
  • anonymous
Now set 2x+3=-(1/2)x to find the intersection, then use the distance formula
anonymous
  • anonymous
x = -6/5
anonymous
  • anonymous
Get y now, and use this point in your distance formula
precal
  • precal
Mertsj what formula did you post? Do you know the name of it? Just curious
Mertsj
  • Mertsj
Perpendicular distance from a Point to a Line
precal
  • precal
ok I have not seen that one before. Good to know
anonymous
  • anonymous
Okay I now have two methods of approaching this problem. Thank you all for helping me. :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.