Answer:
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![slope = \frac{3}{2} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20)
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Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the slope of the perpendicular line we must first find the slope of the original line
The original line is
2x + 3y = 9
3y = - 2x + 9
![y = - \frac{2}{3} x + \frac{9}{ 3} \\ \\ y = - \frac{2}{3} x + 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20%2B%20%20%5Cfrac%7B9%7D%7B%20%203%7D%20%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20%2B%20%203)
Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line
So the slope of the perpendicular line is
![slope = \frac{3}{2} \\](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20)
Hope this helps you
If Jake ate 1/6 of the cookies at the party and we know he ate 5 cookies. We must find out how many cookies there are in all.
![\frac{1}{6} = \frac{5}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B5%7D%7Bx%7D%20)
Now x here represents how many total cookies are at the party.
We have to simply find out what 1 was multiplied by to get 5.
We can do this by dividing.
5 ÷ 1 = 5
So the numerators (the top numbers) were multiplied by 5. We can do the same to the denominators (the bottom numbers) to get the total number of cookies.
Lets multiply.
6 x 5 = 30
So the total number of cookies is 30
Good Luck! <3