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cutie.patootie
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Type the equation of the given line in standard form.
The line with m = 4 and intersecting 2x 4y = 8 at x = 6.
Thanks!
 2 years ago
 2 years ago
cutie.patootie Group Title
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!
 2 years ago
 2 years ago

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agentx5 Group TitleBest ResponseYou've already chosen the best response.2
Step #1: convert "2x 4y = 8" to y=mx+b Step #2...
 2 years ago

cutie.patootie Group TitleBest ResponseYou've already chosen the best response.0
So that would make it 4y=2x+8?
 2 years ago

cutie.patootie Group TitleBest ResponseYou've already chosen the best response.0
Or do I have to put the m in there to and make it 4y=8x+8?
 2 years ago

jazy Group TitleBest ResponseYou've already chosen the best response.0
you want y not 4y so you should simplify
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
Move 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
 2 years ago

cutie.patootie Group TitleBest ResponseYou've already chosen the best response.0
4y=2x+8 turns into.. 4y2x=8 divide by 4 gives you.. y+(1/2)x=2 Right?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
No... 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)
 2 years ago

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

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
then 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 \(y_2\)
 2 years ago

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

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
You're correct! dw:1343072679957:dw
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
When x = 6, they are both equal.
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
Now don't forget to rewrite \(y_2=4x23\) in standard form :) All good?
 2 years ago

agentx5 Group TitleBest ResponseYou've already chosen the best response.2
Visual methods FTW!
 2 years ago

cutie.patootie Group TitleBest ResponseYou've already chosen the best response.0
Okay, I think I follow. So I write it y + 4x = 23?
 2 years ago

cutie.patootie Group TitleBest ResponseYou've already chosen the best response.0
And yes! Hahaha.
 2 years ago
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