Albert0898
  • Albert0898
Please help me understand this. 26. What positive value of k would make the lines below parallel in the (x, y) coordinate plane? kx + 2y = 6 32x + ky = 18 F. 0 G. 3 H. 6 J. 8 K. 12 Thank you. EDIT: Apart from substituting the numbers in, what's another method? This is to be treated as a timed test, so the fastest method possible is key.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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asnaseer
  • asnaseer
for the lines to be parallel, the ration between the x and y terms must be the same
Albert0898
  • Albert0898
That I understand, but the variable k is confusing me so much
asnaseer
  • asnaseer
that therefore gives us that:\[\frac{32}{k}=\frac{k}{2}\]

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asnaseer
  • asnaseer
make sense?
Albert0898
  • Albert0898
One sec, let me work this out on paper.
asnaseer
  • asnaseer
i.e. the second line is some multiple of the first line
Albert0898
  • Albert0898
Okay, so when I brought the terms over, I got... kx + 2y = 6 becomes y = 3 - kx/2 y = 18/k - 32x/k
asnaseer
  • asnaseer
are you sure you have copied the question down correctly?
Albert0898
  • Albert0898
So I bring the slopes down... -kx/2 = -32x/k -64x = -k^2x 64 = k^2 8 = k
Albert0898
  • Albert0898
Yes. This is from an ACT practice test
asnaseer
  • asnaseer
OK - you have worked out the correct answer :)
Albert0898
  • Albert0898
I couldn't have done it without your assistance. Thank you!
asnaseer
  • asnaseer
yw :)

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