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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!
 one year ago
 one year 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!
 one year ago
 one year ago

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agentx5Best ResponseYou've already chosen the best response.2
Step #1: convert "2x 4y = 8" to y=mx+b Step #2...
 one year ago

cutie.patootieBest ResponseYou've already chosen the best response.0
So that would make it 4y=2x+8?
 one year ago

cutie.patootieBest 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?
 one year ago

jazyBest ResponseYou've already chosen the best response.0
you want y not 4y so you should simplify
 one year ago

agentx5Best 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
 one year ago

cutie.patootieBest 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?
 one year ago

agentx5Best 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)
 one year ago

cutie.patootieBest 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.
 one year ago

agentx5Best 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 \(y_2\)
 one year ago

cutie.patootieBest 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?
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
You're correct! dw:1343072679957:dw
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
When x = 6, they are both equal.
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Now don't forget to rewrite \(y_2=4x23\) in standard form :) All good?
 one year ago

cutie.patootieBest ResponseYou've already chosen the best response.0
Okay, I think I follow. So I write it y + 4x = 23?
 one year ago

cutie.patootieBest ResponseYou've already chosen the best response.0
And yes! Hahaha.
 one year ago
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