Answer:
Step-by-step explanation:
We are being asked to write the equation in point-slope form:
where m = slope and the first point = 
In this case, the slope is -5 and the point is 
so the equation will be:
Want to learn more about point-slope form? Check the link out:
https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
Answer:
y = 2/5x + 18.
Step-by-step explanation:
The line will have the same slope of 2/5.
Using the point-slope form of a line:
y - 12 = 2/5(x - -15)
y - 12 = 2/5(x + 15)
y = 2/5x + 6 + 12
y = 2/5x + 18.
D. -15
All I did was plug the numbers in
