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anonymous
 one year ago
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).
anonymous
 one year ago
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).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Point slope form: \[yy _{1}=m(xx _{1})\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0any ideas on what the slope of \(\bf y = 2(x  5)\) is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02 is the slope right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what's the next step?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1perpendicular slopes are negative reciprocal if slope of first equation is a/b then slope of perpendicular line would be negative b/a

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would be 1/2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0slope is 2/ a perpendicular line to that one, as Nnesha said, would have a NEGATIVE RECIPROCAL SLOPE, or \(\bf slope=2\qquad negative\implies +2\qquad reciprocal\implies +\cfrac{1}{2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh positive 1/2! whoops

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So once I find that then what?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so, you're really looking for the equation of a line that has a slope of 1/2 and passes through (3,4) \(\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\quad \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}=\cfrac{1}{2} \\ \quad \\ % pointslope intercept y{\color{blue}{ y_1}}={\color{green}{ m}}(x{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{pointslope form}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So that would equal y  4 = 1/2x  3/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y = 1/2x +5/2 would be the answer right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's the answer? Sorry I wasn't sure which reply you were saying yes to.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf y4=\cfrac{1}{2}(x3)\implies y=\cfrac{1}{2}x\cfrac{3}{2}+4\implies y=\cfrac{1}{2}x\cfrac{3}{2}+\cfrac{8}{2} \\ \quad \\y=\cfrac{1}{2}x+\cfrac{5}{2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lol it's okay. I got it! :)
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