Answer: 
Step-by-step explanation:
If a line is passing through the point (a,b) and has a slope m, then the equation of the line in point-slope form is given by :-

Given: A line that includes the point (6, 1) has a slope of 9.
The equation of line in point-slope form: 
Hence, the required equation in point slope form: 
Step-by-step explanation:
y + 4 = -2x + 2
2x + y = -2
2x = -2 - y
x = -2 -y/2
Answer:
The sum is 
Step-by-step explanation:
we know that
The formula of the sum in a geometric sequence is equal to
![S=a1[\frac{1-r^{n}}{1-r}]](https://tex.z-dn.net/?f=S%3Da1%5B%5Cfrac%7B1-r%5E%7Bn%7D%7D%7B1-r%7D%5D)
where
a1 is the first term
r is the common ratio
n is the number of terms
we have
a1=-4, a2=24, a3=-144
Find the value of r (common ratio)
r=a2/a1
r=24/(-4)=-6
so
a1=-1
r=--6
n=6
substitute in the formula
![S=(-4)[\frac{1-(-6)^{6}}{1-(-6)}]](https://tex.z-dn.net/?f=S%3D%28-4%29%5B%5Cfrac%7B1-%28-6%29%5E%7B6%7D%7D%7B1-%28-6%29%7D%5D)
![S=(-4)[\frac{1-(-6)^{6}}{7}]](https://tex.z-dn.net/?f=S%3D%28-4%29%5B%5Cfrac%7B1-%28-6%29%5E%7B6%7D%7D%7B7%7D%5D)

Counterexample:

4 is not a prime number. So, it's false.