anonymous
  • anonymous
Tabitha is trying to find the equation of a line perpendicular to y = 1 over 2x − 5 in slope-intercept form that passes through the point (2, −7). Which of the following equations will she use?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
a) y − (−7) = 1 over 2(x − 2) b) y − 2 = 1 over 2(x − (−7)) c) y − (−7) = −2(x − 2) d) y − 2 = −2(x − (−7))
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
you been at this one for a while huh?

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anonymous
  • anonymous
yes! can't seem to figure it out :(
anonymous
  • anonymous
ok lets go slow (but not that slow) the slope of \[y=\color{red}{\frac{1}{2}}x-5\] is ?
anonymous
  • anonymous
hint: it is red
anonymous
  • anonymous
1/2
anonymous
  • anonymous
right and the perpendicular line with have a slope that is the "negative reciprocal" i.e. flip it and change the sign
anonymous
  • anonymous
2/1?
anonymous
  • anonymous
-2/1*
anonymous
  • anonymous
right, which, on planet earth, we usually just call \(-2\)
anonymous
  • anonymous
haha right
anonymous
  • anonymous
now we got the slope the point is \((2,-7)\) and they want you to plug all this in to the "point - slope" formula \[y-y_1=m(x-x_1)\]
anonymous
  • anonymous
where you see \(y_1\) put \(-7\) where you see \(m\) put \(-2\) and where you see \(x_1\) put \(2\)
anonymous
  • anonymous
so would it be c?
anonymous
  • anonymous
yes, it is always C how hard was that? ok?
anonymous
  • anonymous
thank you so much!

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