anonymous
  • anonymous
Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = -1 over 2x + 5. A) y = -2x + 2 B) y= 2x - 14 C) y= 1 over 2x - 8 D) y = -1 over 2x - 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Mertsj
  • Mertsj
\[y=\frac{-1}{2x+5}\]
Mertsj
  • Mertsj
That is not a line so there is no line that is parallel to it.
jim_thompson5910
  • jim_thompson5910
The slope of y = -1/2x + 5 is -1/2 So the slope of the parallel line is -1/2 Now use y = mx+b to find the equation of the parallel line You'll be plugging in m = -1/2 x = 4 y = -6 \[\Large y = mx+b\] \[\Large -6 = \left(\frac{-1}{2}\right)\left(4\right)+b\] \[\Large -6 = \frac{-4}{2}+b\] \[\Large -6 = -2+b\] \[\Large -6+2 = b\] \[\Large -4 = b\] \[\Large b = -4\] So the equation of the parallel line is \[\Large y = -\frac{1}{2}x-4\]

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jim_thompson5910
  • jim_thompson5910
So the answer is choice D
anonymous
  • anonymous
Oh my gosh, thank you!
jim_thompson5910
  • jim_thompson5910
You're welcome

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