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beatboxingfetus
 one year ago
Write the equation of the line that is parallel to the line 4x  3y = 12 and passes through the point (3, 4).
beatboxingfetus
 one year ago
Write the equation of the line that is parallel to the line 4x  3y = 12 and passes through the point (3, 4).

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beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0Don't know how to do this one!

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0Write the equation of the line that is parallel to the line y = 3x + 12 and passes through the point (1, 6). Need help with this one too

rvc
 one year ago
Best ResponseYou've already chosen the best response.1equation of line parallel to given line has the same slope

Littlebird
 one year ago
Best ResponseYou've already chosen the best response.1I would just start by changing the format to y=mx+b

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0I don't understand.

rvc
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \bf y_{}y_{1}=m(x_{}x_{1}) ~~\\~~m: Slope\] \[\Large \bf (x_{1},y_{1})=(3,4)\]

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0would it be y = 4x  4

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0I'm so confused.

rvc
 one year ago
Best ResponseYou've already chosen the best response.1the first question what is the slope ?

Littlebird
 one year ago
Best ResponseYou've already chosen the best response.1rvc's format works too but y= 4x4 is wrong First you subtract 4x from both sides and then divide everything by 3 for (y=mx+b)

Littlebird
 one year ago
Best ResponseYou've already chosen the best response.1The logic behind these types of problems is that whatever you do on one side of the equal sign you do on the other

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0oh whoops I forgot to divide everything. y= 4/3x + 8?

Littlebird
 one year ago
Best ResponseYou've already chosen the best response.14x  3y = 12 subtract 4x from both sides 3y = 4x  12 divide everything by 3 on both sides y = (4/3)x + (12/3) so... y= (4/3)x + 4 That is the original formula. To get the parallel line you rewrite it as y=(4/3)x + b Plug in the provided coordinate (3,4)

rvc
 one year ago
Best ResponseYou've already chosen the best response.1\[4x3y=12>3y=4x12>y=\frac{4}{3}x\frac{12}{3}\]

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0Okay I got it for both, thank you both! I wish I could give two medals.

beatboxingfetus
 one year ago
Best ResponseYou've already chosen the best response.0It really always lags a lot.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.0One way to do these problems is to recognize that the slope is determined by the coefficients of \(x\) and \(y\), and a parallel line has the same slope. Therefore, all you need to do is plug in your point in the original left hand side and find the new constant term: \[4x3y=12\]passing through point \((3,4)\): \[4(3)3(4) = 1212 = 24\]so the new equation is simply \[4x3y=24\] and if you solve that for \(y\) to put it in \(y = mx+b\) form (slopeintercept), you get \[3y=244x\]\[y = \frac{4}{3}x+8\]
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