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 2 years ago
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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
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!

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

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

cutie.patootie
 2 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?

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

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

cutie.patootie
 2 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?

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

cutie.patootie
 2 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.

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

cutie.patootie
 2 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?

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

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

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

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

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