For this case we have that by definition, the equation of a line in the point-slope form is given by:
![y-y_ {0} = m (x-x_ {0})](https://tex.z-dn.net/?f=y-y_%20%7B0%7D%20%3D%20m%20%28x-x_%20%7B0%7D%29)
Where:
m: It is the slope of the line and
is a point through which the line passes.
We have the following equation of the slope-intersection form:
![y = 4x + 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%201)
Where the slope is ![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
![m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}](https://tex.z-dn.net/?f=m_%20%7B2%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7Bm_%20%7B1%7D%7D%5C%5Cm_%20%7B2%7D%20%3D%20%5Cfrac%20%7B-1%7D%20%7B4%7D%5C%5Cm_%20%7B2%7D%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B4%7D)
Thus, the equation will be of the form:
![y-y_ {0} = - \frac {1} {4} (x-x_ {0})](https://tex.z-dn.net/?f=y-y_%20%7B0%7D%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%28x-x_%20%7B0%7D%29)
Finally we substitute the given point and we have:
![y-3 = - \frac {1} {4} (x-6)](https://tex.z-dn.net/?f=y-3%20%3D%20-%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%28x-6%29)
Answer:
Option B
4.75 Kilometers, you just divide by 1000
Answer:
It would be equal to 15 - (18)
Answer:
![16\pi](https://tex.z-dn.net/?f=16%5Cpi)
Step-by-step explanation:
We need to find 1/4 of the area of a circle with a radius of 8
Let r be radius
Area of a circle = ![r^{2} \pi](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%5Cpi)
Substitute r with 8
Area of a circle = ![8^2\pi =64\pi](https://tex.z-dn.net/?f=8%5E2%5Cpi%20%3D64%5Cpi)
Now, to find 1/4 of the area, we can create an equation ![\frac{64\pi }{4}={16\pi](https://tex.z-dn.net/?f=%5Cfrac%7B64%5Cpi%20%7D%7B4%7D%3D%7B16%5Cpi)
The answer is ![16\pi](https://tex.z-dn.net/?f=16%5Cpi)
Hope this helps :)
Have a spectacular day!
Answer:
Lemon juice is acidic and therefore is deemed unsafe to consume this can start to destroy the pancreas and other major arteries if not removed quickly
Step-by-step explanation: