A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
More help?
Type the equation of the given line in standard form.
The line with m = 4 and intersecting 2x 4y = 8 at x = 6.
Thanks!
anonymous
 3 years ago
More help? Type the equation of the given line in standard form. The line with m = 4 and intersecting 2x 4y = 8 at x = 6. Thanks!

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Step #1: convert "2x 4y = 8" to y=mx+b Step #2...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So that would make it 4y=2x+8?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Or do I have to put the m in there to and make it 4y=8x+8?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you want y not 4y so you should simplify

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Move the 2x over to the other side (with subtraction), divide both sides by 4. Can you write this second step @cutie.patootie ? :) You'll end up getting a y=mx+b form line that allows to to draw this: dw:1343071328047:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.04y=2x+8 turns into.. 4y2x=8 divide by 4 gives you.. y+(1/2)x=2 Right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0No... unless you wrote it incorrect at the start. 4y + 2x = 8? Move the x's over 4y = 2x + 8 Divide by 4 y = 0.5 x  2 (see graph above)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh well I had it right, but then I moved the x to the wrong side. But I see where I made my mistake now.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then it tells you there is some other line with: y = 4x + b , because it says "m = 4" An "intersection of two lines" means when they are equal to each other. If you've solved both for the dependent varible (y) that means you can set the y's equal to each other: \(y_1 = y_2\) we know: \(y_1 = \frac{1}{2}x  2\) \(y_2 = 4x + b_2\) So... \(y_1 = y_2\) \(\frac{1}{2}x  2 = 4x + b_2\) Make sense? The final steps are substitute in "x=6", solve for \(b_2\), and rewrite \(y_2\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, so you get... (1/2)(6)  2 = 4(6) +b2 32=24+b2 1=24+b2 b2= 23?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You're correct! dw:1343072679957:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0When x = 6, they are both equal.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Now don't forget to rewrite \(y_2=4x23\) in standard form :) All good?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, I think I follow. So I write it y + 4x = 23?
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.