A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)? (y + 2) = −2(x + 5) (y − 2) = 2(x − 3) (y − 3) = 2(x − 2) (y + 3) = −2(x + 2)

  • This Question is Open
  1. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ -2}}\quad ,&{\color{blue}{ 5}})\quad % (c,d) &({\color{red}{ 2}}\quad ,&{\color{blue}{ 3}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values }\\ \qquad \uparrow\\ \textit{point-slope form}\)

  2. some.random.cool.kid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm looks like he has it :~>jdoe can help.

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    For rise over run I got -4/2 and for point slope I got y-5=-4/2(x+2) Is this right at all?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Im gonna guess that its D because its the only one with x+2

  5. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -4/2 would be run/rise though :)

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Than 2/-4 ;D So than it would be y-5=-2/4(x+2)?

  7. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yeap, just bear in mind that \(\bf -\cfrac{\cancel{2}}{\cancel{4}}\iff -\cfrac{1}{2}\)

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So then whats next?

  9. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmmm hold the mayo... ... lemme recheck that

  10. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ohhh you have a -5....hmm

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I put that because of the y1

  12. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok.. then you're correct, is -4/2 which is -2 of course :) now for the point to use could be either \(x_1,y_1\ or\ x_2,y_2\) so \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ -2}}\quad ,&{\color{blue}{ -5}})\quad % (c,d) &({\color{red}{ 2}}\quad ,&{\color{blue}{ 3}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies -\cfrac{\cancel{8}}{\cancel{4}}\implies -2 \\ \quad \\ % point-slope intercept y-{\color{blue}{ 3}}={\color{green}{ -2}}(x-{\color{red}{ 2}})\qquad \textit{plug in the values }\\ \qquad \uparrow\\ \textit{point-slope form}\)

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But thats not an answer choice xDDDDD

  14. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wouldn't it be positive 2 as the rise/run because the negatives both cancel?

  16. jdoe0001
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ohh yea... darn.. yes it's 3-(-5) = +8 and 2-(-2) = +4 yeap \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ -2}}\quad ,&{\color{blue}{ -5}})\quad % (c,d) &({\color{red}{ 2}}\quad ,&{\color{blue}{ 3}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies \cfrac{\cancel{8}}{\cancel{4}}\implies 2 \\ \quad \\ % point-slope intercept y-{\color{blue}{ 3}}={\color{green}{ 2}}(x-{\color{red}{ 2}})\qquad \textit{plug in the values }\\ \qquad \uparrow\\ \textit{point-slope form}\)

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks for all your help!!

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.