Answer:
the slope is negative 1 because everytime the line goes down 1 it goes to the right 1
Yes they are all quadratic functions
If a single ticket costs 40 dollars then the ten seats will generate the following
$40 x 10= $400
The point-slope form of a line:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-9, -5) and (2, -4). Substitute:
![m=\dfrac{-4-(-5)}{2-(-9)}=\dfrac{1}{11}\\\\y-(-5)=\dfrac{1}{11}(x-(-9))\\\\\boxed{y+5=\dfrac{1}{11}(x+9)}\leftarrow\boxed{\text{point-slope form}}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-4-%28-5%29%7D%7B2-%28-9%29%7D%3D%5Cdfrac%7B1%7D%7B11%7D%5C%5C%5C%5Cy-%28-5%29%3D%5Cdfrac%7B1%7D%7B11%7D%28x-%28-9%29%29%5C%5C%5C%5C%5Cboxed%7By%2B5%3D%5Cdfrac%7B1%7D%7B11%7D%28x%2B9%29%7D%5Cleftarrow%5Cboxed%7B%5Ctext%7Bpoint-slope%20form%7D%7D)
The standard form of a line:
![Ax+By=C](https://tex.z-dn.net/?f=Ax%2BBy%3DC)
<em>multiply both sides by 11</em>
![11y+55=1(x+9)](https://tex.z-dn.net/?f=11y%2B55%3D1%28x%2B9%29)
<em>subtract 9 from both sides</em>
<em>subtract 11y from both sides</em>
![46=x-11y](https://tex.z-dn.net/?f=46%3Dx-11y)
![\boxed{x-11y=46}\leftarrow\boxed{\text{standard form}}](https://tex.z-dn.net/?f=%5Cboxed%7Bx-11y%3D46%7D%5Cleftarrow%5Cboxed%7B%5Ctext%7Bstandard%20form%7D%7D)