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

1. anonymous

@Hero

2. anonymous

@welshfella

3. welshfella

use the point slope formula y - y1 = m(x - x) where (x1,y1) is the point on the line and m = the slope

4. welshfella

here x1 = e^pi , y1 = sqrt 2 and m = pi/6

5. welshfella

so just plug theses values in

6. anonymous

but how do i simplify? y2-square root 2=pi/6(x2-e^pi)

7. anonymous

$y-\sqrt{2}=\frac{\pi}{6}(x-e^{\pi})$ 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 $6y-6\sqrt{2}=\pi(x-e^{\pi})$ Now we simply open the parenthesis on the right side $6y-6\sqrt{2}=\pi x-\pi e^{\pi}$ Now it's a matter of rearranging $\pi x-6y+6\sqrt{2}-\pi e^{\pi}=0$ This is of the form $ax+by+c=0$ In this case, $a=\pi$$b=-6$$c=6\sqrt{2}-\pi e^{\pi}$