anonymous
  • anonymous
Will medal and fan! Use the point slope form, write an equation for the line perpendicular to the line y = -2(x - 5) containing the point (3,4).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Point slope form: \[y-y _{1}=m(x-x _{1})\]
jdoe0001
  • jdoe0001
any ideas on what the slope of \(\bf y = -2(x - 5)\) is?
anonymous
  • anonymous
-2 is the slope right?

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anonymous
  • anonymous
@jdoe0001
Nnesha
  • Nnesha
yep that's right :
anonymous
  • anonymous
So what's the next step?
Nnesha
  • Nnesha
perpendicular slopes are negative reciprocal if slope of first equation is a/b then slope of perpendicular line would be negative b/a
anonymous
  • anonymous
So it would be -1/2?
Nnesha
  • Nnesha
hmm no.
jdoe0001
  • jdoe0001
slope is -2/ a perpendicular line to that one, as Nnesha said, would have a NEGATIVE RECIPROCAL SLOPE, or \(\bf slope=-2\qquad negative\implies +2\qquad reciprocal\implies +\cfrac{1}{2}\)
Nnesha
  • Nnesha
^
anonymous
  • anonymous
Oh positive 1/2! whoops
anonymous
  • anonymous
So once I find that then what?
jdoe0001
  • jdoe0001
so, you're really looking for the equation of a line that has a slope of 1/2 and passes through (3,4) \(\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}=\cfrac{1}{2} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}\)
anonymous
  • anonymous
So that would equal y - 4 = 1/2x - 3/2
anonymous
  • anonymous
y = 1/2x +5/2 would be the answer right?
jdoe0001
  • jdoe0001
yeap
anonymous
  • anonymous
That's the answer? Sorry I wasn't sure which reply you were saying yes to.
anonymous
  • anonymous
@jdoe0001
anonymous
  • anonymous
Okay thanks!
jdoe0001
  • jdoe0001
even more typos
jdoe0001
  • jdoe0001
\(\bf y-4=\cfrac{1}{2}(x-3)\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+4\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{8}{2} \\ \quad \\y=\cfrac{1}{2}x+\cfrac{5}{2}\)
anonymous
  • anonymous
Lol it's okay. I got it! :)
jdoe0001
  • jdoe0001
:)
Nnesha
  • Nnesha
o^_^o

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