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anonymous
 one year ago
write the equation of the line passing through (e^pi, square root of 2) with a slope of pi/6
anonymous
 one year ago
write the equation of the line passing through (e^pi, square root of 2) with a slope of pi/6

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.0use the point slope formula y  y1 = m(x  x) where (x1,y1) is the point on the line and m = the slope

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0here x1 = e^pi , y1 = sqrt 2 and m = pi/6

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0so just plug theses values in

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but how do i simplify? y2square root 2=pi/6(x2e^pi)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y\sqrt{2}=\frac{\pi}{6}(xe^{\pi})\] Although not necessary, a linear equation in 2 variables may be simplified into the form of \[ax+by+c=0\] Let's get rid of that 6 first by multiplying throughout by 6 \[6y6\sqrt{2}=\pi(xe^{\pi})\] Now we simply open the parenthesis on the right side \[6y6\sqrt{2}=\pi x\pi e^{\pi}\] Now it's a matter of rearranging \[\pi x6y+6\sqrt{2}\pi e^{\pi}=0\] This is of the form \[ax+by+c=0\] In this case, \[a=\pi\]\[b=6\]\[c=6\sqrt{2}\pi e^{\pi}\]
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