Answer:
The equation which describe this function is 5x + 11y = 37
Step-by-step explanation:
<u>To find the slope</u>
slope = (y₂ - y₁)/(x₂ - x₁)
slope = (13 - 2)/(-2 - 3) = 11/-5
<u>To find the equation</u>
(x - 3)/(y - 2) = -11/5
5(x - 3) = -11(y - 2)
5x -15 = -11y + 22
5x + 11y = 22 + 15
5x + 11y = 37
Therefore the equation which describe this function is
5x + 11y = 37
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or ![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
where
k is the constant of variation
in this problem we have
the point ![(5,8)](https://tex.z-dn.net/?f=%285%2C8%29)
so
![x=5\\y=8](https://tex.z-dn.net/?f=x%3D5%5C%5Cy%3D8)
substitute
![\frac{y}{x}=k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3Dk)
![\frac{8}{5}=k](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%3Dk)
therefore
<u>the answer is</u>
![k=\frac{8}{5}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B8%7D%7B5%7D)
The numbers given are length-15 width-10 and height-2
perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)