saucvi
  • saucvi
Choose the equation below that represents the line passing through the point (2, -4) with a slope of one half.
Mathematics
chestercat
  • chestercat
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saucvi
  • saucvi
A. y=1/2x+5 B. y=1/2x-3 C. y=1/2x-5 D. =1/2x+3
Vocaloid
  • Vocaloid
point-slope form: y - y1 = m(x-x1) plug in slope (1/2) for m, 2 for x1, and -4 for y1, then re-arrange and solve
saucvi
  • saucvi
How do I plug in slope? I understand none of this ): @Vocaloid

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Vocaloid
  • Vocaloid
replace m with 1/2 replace x1 with 2 replace y1 iwth -4
saucvi
  • saucvi
@Vocaloid Is it y=1/2x-3
Vocaloid
  • Vocaloid
no, can you show me how you arrived at that answer?
saucvi
  • saucvi
I plugged in the numbers and got y-(-4) = 1/2(x-2). Explaining it now I realize I don't even know how I got my answer. I think I rearranged wrong and miscalculated somewhere
saucvi
  • saucvi
Vocaloid
  • Vocaloid
yes, your plugging in is right but you may have made a mistake in the rearranging y-(-4) = 1/2(x-2) y+ 4 = 1/2(x) - 1 y = (1/2)x - 5
saucvi
  • saucvi
Why did -4 become positive and where did the -1 come from? @vocaloid
Vocaloid
  • Vocaloid
4 becomes positive because y-(-4) = y + 4 (remember that two negative signs together become positive) 1/2(x-2) = 1/2(x) - 1 because you distribute the 1/2 1/2(x-2) = (1/2)(x) - (1/2)(2) = (1/2)x - 1
saucvi
  • saucvi
Ohh okay. Thank you so much!

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