Answer huh?
Step-by-step explanation:
Answer:
slope = ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Step-by-step explanation:
calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )
m =
=
= ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
First let us convert 0.01 into fraction:
![\frac{y^{2}}{100} -\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7By%5E%7B2%7D%7D%7B100%7D%20%20-%5Cfrac%7B1%7D%7B4%7D%20%20)
Now we convert 100 and 4 into perfect squares as follows:
![(\frac{y}{10})^{2}-(\frac{1}{2})^{2}](https://tex.z-dn.net/?f=%20%28%5Cfrac%7By%7D%7B10%7D%29%5E%7B2%7D-%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%20)
Now we use the property of :
![x^{2} -y^{2} =(x+y)(x-y)](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-y%5E%7B2%7D%20%3D%28x%2By%29%28x-y%29%20)
![(\frac{y}{10} +\frac{1}{2} ) (\frac{y}{10} -\frac{1}{2} )](https://tex.z-dn.net/?f=%20%28%5Cfrac%7By%7D%7B10%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%29%20%28%5Cfrac%7By%7D%7B10%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%29%20)
Answer is 150/x see photo for solution